How was henry the third of france and henry the 4th of france related or connect

Question:henry 3rd of france aka Duke of Anjou (1566 – 1574)
and Henry the 4th of france- Known as The Great, 'The green gallant, or Good King Henry
duke anjou never had any kids.

Best Answer - Chosen by Asker: henry 3rd of france aka Duke of Anjou (1566 – 1574)
and Henry the 4th of france- Known as The Great, 'The green gallant, or Good King Henry
duke anjou never had any kids.

Henry IV was the son of Antoine de Bourbon, Duke of Vendome and Jeanne d'Albret, Queen of Navarre. He was born in the Chateau de Pau, Pyrénées-Atlantiques, in the southwest of France (former province of Béarn). At the death of King Henry III of France, who had no son, the crown passed to Henry IV, in application of the Salic Law, as Henry was the descendant of the eldest surviving male line of the Capetian dynasty. The new king, however, had to fight for some years to be recognized as the legitimate king of France by the Catholics, most of whom were opposed to his Protestant faith.

Here is a short genealogy that explains how Henry IV descends in the male line from the Capetian Dynasty:

Henry IV was the 9th cousin of King Henry II, and the 9th cousin once removed of kings Francis II, Charles IX, and Henry III. He was the son of:
Antoine de Bourbon (1518 – 1562), 8th cousin of kings Charles VIII and Francis I, who was the son of:
Charles IV, Duke of Bourbon (1489 – 1537), 7th cousin of kings Louis XI and Louis XII, who was the son of:
Fran?ois de Bourbon-Vend?me (1470 – 1495), 6th cousin of King Charles VII, who was the son of:
Jean de Bourbon-Vend?me (1428 – 1477), 5th cousin of King Charles VI, who was the son of:
Louis de Bourbon-Vend?me (1376 – 1446), 4th cousin of King Charles V, who was the son of:
Jean de Bourbon-La Marche (1344 – 1393), 3rd cousin of kings John I Posthumus and John II, who was the son of:
Jacques de Bourbon-La Marche (1315 – 1362), 2nd cousin of kings Louis X, Philip V, Charles IV, and Philip VI, who was the son of:
Louis I, Duke of Bourbon (1279 – 1342), 1st cousin of King Philip IV, who was the son of:
Robert, Count of Clermont (1256 – 1317), brother of King Philip III and son of:
King Louis IX (Saint Louis) (1214/1215 - 1270)

the site below says that they were cousins.
Henry IV was "Henry of Navarre"

http://www.wsu.edu/~dee/REFORM/WARS.HTM