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Finding the Fourth Proportional to 42.39, 58.52 and 37.73

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Solution

The fourth proportional to 42.39, 58.52 and 37.73 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.39 : 58.52 = 37.73 : x
  2. Step 2: Convert to fraction form
    42.39/58.52 = 37.73/x
  3. Step 3: Cross multiply
    42.39x = 58.52 × 37.73
  4. Step 4: Simplify right side
    42.39x = 2,208.20
  5. Step 5: Solve for x
    x = 2,208.20/42.39
  6. Step 6: Final answer
    x = 52.09

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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.