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Finding the Fourth Proportional to 99.20, 148.92 and 63.20

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Solution

The fourth proportional to 99.20, 148.92 and 63.20 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 148.92 = 63.20 : x
  2. Step 2: Convert to fraction form
    99.20/148.92 = 63.20/x
  3. Step 3: Cross multiply
    99.20x = 148.92 × 63.20
  4. Step 4: Simplify right side
    99.20x = 9,411.74
  5. Step 5: Solve for x
    x = 9,411.74/99.20
  6. Step 6: Final answer
    x = 94.88

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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.