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Finding the Fourth Proportional to 385.20, 532.53 and 292.41

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Solution

The fourth proportional to 385.20, 532.53 and 292.41 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 532.53 = 292.41 : x
  2. Step 2: Convert to fraction form
    385.20/532.53 = 292.41/x
  3. Step 3: Cross multiply
    385.20x = 532.53 × 292.41
  4. Step 4: Simplify right side
    385.20x = 155,717.10
  5. Step 5: Solve for x
    x = 155,717.10/385.20
  6. Step 6: Final answer
    x = 404.25

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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.