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Finding the Fourth Proportional to 59.20, 81.64 and 39.76

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Solution

The fourth proportional to 59.20, 81.64 and 39.76 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.64 = 39.76 : x
  2. Step 2: Convert to fraction form
    59.20/81.64 = 39.76/x
  3. Step 3: Cross multiply
    59.20x = 81.64 × 39.76
  4. Step 4: Simplify right side
    59.20x = 3,246.01
  5. Step 5: Solve for x
    x = 3,246.01/59.20
  6. Step 6: Final answer
    x = 54.83

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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.