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Finding the Fourth Proportional to 42.70, 59.12 and 41.88

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Solution

The fourth proportional to 42.70, 59.12 and 41.88 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.70 : 59.12 = 41.88 : x
  2. Step 2: Convert to fraction form
    42.70/59.12 = 41.88/x
  3. Step 3: Cross multiply
    42.70x = 59.12 × 41.88
  4. Step 4: Simplify right side
    42.70x = 2,475.95
  5. Step 5: Solve for x
    x = 2,475.95/42.70
  6. Step 6: Final answer
    x = 57.98

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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.