You Do Need power plug adapter while traveling from Azores to Balearic Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Balearic Islands are C and F and in Azores are B, C and F. This is how they look like.

Azores

In Azores, outlets of type B, C and F are in use.

Type B

Type C

Type F

Balearic Islands

In Balearic Islands, outlets of type C and F are in use.

Type C

Type F