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Finding the Fourth Proportional to 59.20, 81.61 and 38.43

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Solution

The fourth proportional to 59.20, 81.61 and 38.43 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.61 = 38.43 : x
  2. Step 2: Convert to fraction form
    59.20/81.61 = 38.43/x
  3. Step 3: Cross multiply
    59.20x = 81.61 × 38.43
  4. Step 4: Simplify right side
    59.20x = 3,136.18
  5. Step 5: Solve for x
    x = 3,136.18/59.20
  6. Step 6: Final answer
    x = 52.98

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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.