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Finding the Fourth Proportional to 140.84, 209.96 and 125.36

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Solution

The fourth proportional to 140.84, 209.96 and 125.36 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 209.96 = 125.36 : x
  2. Step 2: Convert to fraction form
    140.84/209.96 = 125.36/x
  3. Step 3: Cross multiply
    140.84x = 209.96 × 125.36
  4. Step 4: Simplify right side
    140.84x = 26,320.59
  5. Step 5: Solve for x
    x = 26,320.59/140.84
  6. Step 6: Final answer
    x = 186.88

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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.