You Do Need power plug adapter while traveling from Fiji to Equatorial Guinea.

Here is Why You Need An Adapter

The outlet and plug type used in Equatorial Guinea are C and E and in Fiji is I. This is how they look like.

Fiji

In Fiji, outlets of type I are in use.

Type I

Equatorial Guinea

In Equatorial Guinea, outlets of type C and E are in use.

Type C

Type E