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Finding the Fourth Proportional to 100.48, 151.05 and 80.41

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Solution

The fourth proportional to 100.48, 151.05 and 80.41 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 151.05 = 80.41 : x
  2. Step 2: Convert to fraction form
    100.48/151.05 = 80.41/x
  3. Step 3: Cross multiply
    100.48x = 151.05 × 80.41
  4. Step 4: Simplify right side
    100.48x = 12,145.18
  5. Step 5: Solve for x
    x = 12,145.18/100.48
  6. Step 6: Final answer
    x = 120.88

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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.