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Finding the Fourth Proportional to 385.91, 532.56 and 220.13

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Solution

The fourth proportional to 385.91, 532.56 and 220.13 is: 303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.91 : 532.56 = 220.13 : x
  2. Step 2: Convert to fraction form
    385.91/532.56 = 220.13/x
  3. Step 3: Cross multiply
    385.91x = 532.56 × 220.13
  4. Step 4: Simplify right side
    385.91x = 117,229.77
  5. Step 5: Solve for x
    x = 117,229.77/385.91
  6. Step 6: Final answer
    x = 303.78

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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.