Pectoralis muscles connect your rib cage/chest with the bones of the upper arm humerus and shoulder collarbone. This allows you to move your shoulder joint in four ways as well as attaching your arm to your body
Some people can experience a tight chest and keep trying to stretch it out to get relief. However this may be due to posture and an upper back/shoulder or neck stiffness or issue. Your back also connects to your rib cage and plays a big part in the position of your chest and ribs, which can cause tightening in your pecs.