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Finding the Fourth Proportional to 84.32, 126.39 and 57.23

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Solution

The fourth proportional to 84.32, 126.39 and 57.23 is: 85.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 126.39 = 57.23 : x
  2. Step 2: Convert to fraction form
    84.32/126.39 = 57.23/x
  3. Step 3: Cross multiply
    84.32x = 126.39 × 57.23
  4. Step 4: Simplify right side
    84.32x = 7,233.30
  5. Step 5: Solve for x
    x = 7,233.30/84.32
  6. Step 6: Final answer
    x = 85.78

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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.