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Finding the Fourth Proportional to 99.32, 148.88 and 40.73

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Solution

The fourth proportional to 99.32, 148.88 and 40.73 is: 61.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.32 : 148.88 = 40.73 : x
  2. Step 2: Convert to fraction form
    99.32/148.88 = 40.73/x
  3. Step 3: Cross multiply
    99.32x = 148.88 × 40.73
  4. Step 4: Simplify right side
    99.32x = 6,062.93
  5. Step 5: Solve for x
    x = 6,062.93/99.32
  6. Step 6: Final answer
    x = 61.05

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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.