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Finding the Fourth Proportional to 140.31, 209.97 and 132.51

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Solution

The fourth proportional to 140.31, 209.97 and 132.51 is: 198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 209.97 = 132.51 : x
  2. Step 2: Convert to fraction form
    140.31/209.97 = 132.51/x
  3. Step 3: Cross multiply
    140.31x = 209.97 × 132.51
  4. Step 4: Simplify right side
    140.31x = 27,823.12
  5. Step 5: Solve for x
    x = 27,823.12/140.31
  6. Step 6: Final answer
    x = 198.30

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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.