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Finding the Fourth Proportional to 42.74, 63.65 and 42.27

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Solution

The fourth proportional to 42.74, 63.65 and 42.27 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.74 : 63.65 = 42.27 : x
  2. Step 2: Convert to fraction form
    42.74/63.65 = 42.27/x
  3. Step 3: Cross multiply
    42.74x = 63.65 × 42.27
  4. Step 4: Simplify right side
    42.74x = 2,690.49
  5. Step 5: Solve for x
    x = 2,690.49/42.74
  6. Step 6: Final answer
    x = 62.95

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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.