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Finding the Fourth Proportional to 131.97, 197.18 and 129.09

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Solution

The fourth proportional to 131.97, 197.18 and 129.09 is: 192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.97 : 197.18 = 129.09 : x
  2. Step 2: Convert to fraction form
    131.97/197.18 = 129.09/x
  3. Step 3: Cross multiply
    131.97x = 197.18 × 129.09
  4. Step 4: Simplify right side
    131.97x = 25,454.29
  5. Step 5: Solve for x
    x = 25,454.29/131.97
  6. Step 6: Final answer
    x = 192.88

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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.