Polyunsaturated fats, which consist of omega-3 and omega-6 fats, are healthier choices than saturated fats. Most Americans, however, get way more omega-6 fats in their diet than omega-3 fats. Having a high omega-6 to omega-3 ratio may increase your risk of certain chronic diseases, including arthritis, asthma, cancer and heart disease, according to an article published in Experimental Biology and Medicine in June 2008. Sunflower oil contains 7 percent polyunsaturated fats, all of which consist of omega-6 fats. If you use sunflower oil, make sure to eat plenty of omega-3-rich foods as well, such as seafood, flax and walnuts.