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Finding the Fourth Proportional to 131.92, 198.73 and 130.24

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Solution

The fourth proportional to 131.92, 198.73 and 130.24 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 198.73 = 130.24 : x
  2. Step 2: Convert to fraction form
    131.92/198.73 = 130.24/x
  3. Step 3: Cross multiply
    131.92x = 198.73 × 130.24
  4. Step 4: Simplify right side
    131.92x = 25,882.60
  5. Step 5: Solve for x
    x = 25,882.60/131.92
  6. Step 6: Final answer
    x = 196.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.