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Finding the Fourth Proportional to 140.18, 209.32 and 125.75

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Solution

The fourth proportional to 140.18, 209.32 and 125.75 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 209.32 = 125.75 : x
  2. Step 2: Convert to fraction form
    140.18/209.32 = 125.75/x
  3. Step 3: Cross multiply
    140.18x = 209.32 × 125.75
  4. Step 4: Simplify right side
    140.18x = 26,322.73
  5. Step 5: Solve for x
    x = 26,322.73/140.18
  6. Step 6: Final answer
    x = 187.78

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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.