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Finding the Fourth Proportional to 84.38, 126.32 and 75.46

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Solution

The fourth proportional to 84.38, 126.32 and 75.46 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 126.32 = 75.46 : x
  2. Step 2: Convert to fraction form
    84.38/126.32 = 75.46/x
  3. Step 3: Cross multiply
    84.38x = 126.32 × 75.46
  4. Step 4: Simplify right side
    84.38x = 9,532.11
  5. Step 5: Solve for x
    x = 9,532.11/84.38
  6. Step 6: Final answer
    x = 112.97

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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.