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Finding the Fourth Proportional to 100.72, 151.76 and 97.48

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Solution

The fourth proportional to 100.72, 151.76 and 97.48 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.72 : 151.76 = 97.48 : x
  2. Step 2: Convert to fraction form
    100.72/151.76 = 97.48/x
  3. Step 3: Cross multiply
    100.72x = 151.76 × 97.48
  4. Step 4: Simplify right side
    100.72x = 14,793.56
  5. Step 5: Solve for x
    x = 14,793.56/100.72
  6. Step 6: Final answer
    x = 146.88

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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.