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Finding the Fourth Proportional to 84.28, 126.56 and 52.42

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Solution

The fourth proportional to 84.28, 126.56 and 52.42 is: 78.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.28 : 126.56 = 52.42 : x
  2. Step 2: Convert to fraction form
    84.28/126.56 = 52.42/x
  3. Step 3: Cross multiply
    84.28x = 126.56 × 52.42
  4. Step 4: Simplify right side
    84.28x = 6,633.70
  5. Step 5: Solve for x
    x = 6,633.70/84.28
  6. Step 6: Final answer
    x = 78.71

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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.