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Finding the Fourth Proportional to 130.92, 196.38 and 76.80

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Solution

The fourth proportional to 130.92, 196.38 and 76.80 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 196.38 = 76.80 : x
  2. Step 2: Convert to fraction form
    130.92/196.38 = 76.80/x
  3. Step 3: Cross multiply
    130.92x = 196.38 × 76.80
  4. Step 4: Simplify right side
    130.92x = 15,081.98
  5. Step 5: Solve for x
    x = 15,081.98/130.92
  6. Step 6: Final answer
    x = 115.20

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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.