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Finding the Fourth Proportional to 39.76, 59.20 and 38.12

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Solution

The fourth proportional to 39.76, 59.20 and 38.12 is: 56.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.76 : 59.20 = 38.12 : x
  2. Step 2: Convert to fraction form
    39.76/59.20 = 38.12/x
  3. Step 3: Cross multiply
    39.76x = 59.20 × 38.12
  4. Step 4: Simplify right side
    39.76x = 2,256.70
  5. Step 5: Solve for x
    x = 2,256.70/39.76
  6. Step 6: Final answer
    x = 56.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.