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Finding the Fourth Proportional to 42.06, 62.96 and 38.94

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Solution

The fourth proportional to 42.06, 62.96 and 38.94 is: 58.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 62.96 = 38.94 : x
  2. Step 2: Convert to fraction form
    42.06/62.96 = 38.94/x
  3. Step 3: Cross multiply
    42.06x = 62.96 × 38.94
  4. Step 4: Simplify right side
    42.06x = 2,451.66
  5. Step 5: Solve for x
    x = 2,451.66/42.06
  6. Step 6: Final answer
    x = 58.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.