Improving balance is important for overall fitness and everyday activities simply because it increases overall movement function. Any workout move you do requires some level of balance—to even just walk you need to have basic balancing abilities. The core is often referred to as the powerhouse of your body. It's also your balance center. Having a strong core allows you to control your body's positioning and maintain an upright position. Your back and chest play a role here, too. All of these muscles are important for both posture and stability. But purposefully training your body to move in new ways that disrupt and challenge your balance will also help tremendously..
When you do exercises that throw off your center of gravity—like holding one leg up in the air while doing a bicep curl—your body and brain have to work overtime to keep you stable. Basically anything that challenges your center of gravity will improve your balance. "This can include lifting and holding one or more of your extremities at a time and/or the use of props such as weights or unstable surfaces such as Bosu balls. Balance work is also great for bodily awareness. Having to focus mentally during these type of exercises impacts your ability to have a mind-body connection in your workouts, which can also carry over to everyday activities outside of the gym.