Finding the Fourth Proportional to 498, 746.96 and 224
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Solution
The fourth proportional to 498, 746.96 and 224 is: 335.98
Step by Step Solution
- Step 1: Write the proportion equation
498 : 746.96 = 224 : x - Step 2: Convert to fraction form
498/746.96 = 224/x - Step 3: Cross multiply
498x = 746.96 × 224 - Step 4: Simplify right side
498x = 167,319.04 - Step 5: Solve for x
x = 167,319.04/498 - Step 6: Final answer
x = 335.98
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.