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Finding the Fourth Proportional to 385.59, 532.58 and 292.13

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Solution

The fourth proportional to 385.59, 532.58 and 292.13 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.59 : 532.58 = 292.13 : x
  2. Step 2: Convert to fraction form
    385.59/532.58 = 292.13/x
  3. Step 3: Cross multiply
    385.59x = 532.58 × 292.13
  4. Step 4: Simplify right side
    385.59x = 155,578.47
  5. Step 5: Solve for x
    x = 155,578.47/385.59
  6. Step 6: Final answer
    x = 403.48

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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.