Finding the Fourth Proportional to 509.19, 702.68 and 288.15
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Solution
The fourth proportional to 509.19, 702.68 and 288.15 is: 397.65
Step by Step Solution
- Step 1: Write the proportion equation
509.19 : 702.68 = 288.15 : x - Step 2: Convert to fraction form
509.19/702.68 = 288.15/x - Step 3: Cross multiply
509.19x = 702.68 × 288.15 - Step 4: Simplify right side
509.19x = 202,477.24 - Step 5: Solve for x
x = 202,477.24/509.19 - Step 6: Final answer
x = 397.65
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.