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Finding the Fourth Proportional to 424.49, 634.15 and 269.17

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Solution

The fourth proportional to 424.49, 634.15 and 269.17 is: 402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.49 : 634.15 = 269.17 : x
  2. Step 2: Convert to fraction form
    424.49/634.15 = 269.17/x
  3. Step 3: Cross multiply
    424.49x = 634.15 × 269.17
  4. Step 4: Simplify right side
    424.49x = 170,692.91
  5. Step 5: Solve for x
    x = 170,692.91/424.49
  6. Step 6: Final answer
    x = 402.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.