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Finding the Fourth Proportional to 385.46, 532.17 and 292.21

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Solution

The fourth proportional to 385.46, 532.17 and 292.21 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 532.17 = 292.21 : x
  2. Step 2: Convert to fraction form
    385.46/532.17 = 292.21/x
  3. Step 3: Cross multiply
    385.46x = 532.17 × 292.21
  4. Step 4: Simplify right side
    385.46x = 155,504.07
  5. Step 5: Solve for x
    x = 155,504.07/385.46
  6. Step 6: Final answer
    x = 403.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.