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Finding the Fourth Proportional to 42.11, 63.51 and 39.61

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Solution

The fourth proportional to 42.11, 63.51 and 39.61 is: 59.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.11 : 63.51 = 39.61 : x
  2. Step 2: Convert to fraction form
    42.11/63.51 = 39.61/x
  3. Step 3: Cross multiply
    42.11x = 63.51 × 39.61
  4. Step 4: Simplify right side
    42.11x = 2,515.47
  5. Step 5: Solve for x
    x = 2,515.47/42.11
  6. Step 6: Final answer
    x = 59.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.