Methods for obtaining soybean plants that produce seed with low linolenic acid levels and moderately increased oleic levels are disclosed. Also disclosed are methods for producing seed with low linolenic acid levels, moderately increased oleic levels and low saturated fatty acid levels. These methods entail the combination of transgenes that provide moderate oleic acid levels with soybean germplasm that contains mutations in soybean genes that confer low linolenic acid phenotypes. These methods also entail entail the combination of transgenes that provide both moderate oleic acid levels and low saturated fat levels with soybean germplasm that contains mutations in soybean genes that confer low linolenic acid phenotypes. Soybean plants and seeds produced by these methods are also disclosed.