How to throw explosives, e.g. a grenade in Fallout 4?

I have some grenades, and molotov cocktails.

Yet I cannot throw them. I have them in my favorite list, yet selecting them does nothing. How am I supposed to throw them? And can I throw them in VATS menu?

I'm playing using the XBOX 360 controller.

Select your favorite explosive, and hold down your melee button for a while. You should hear a clicking noise on success before throwing.

The defaults are:

• XBOX: RB
• PS4: R1
• PC: Alt

After releasing, you throw the explosives. It seems you can hold grenades for a long while.

If you do a melee attack, try holding it longer. As soon as you have run out of grenades, pressing and holding the button will trigger a melee attack even if you are standing miles away from a foe.

I haven't figured out how to throw them in VATS mode; it doesn't seem possible.