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Finding the Fourth Proportional to 100.39, 149.95 and 80.04

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Solution

The fourth proportional to 100.39, 149.95 and 80.04 is: 119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.39 : 149.95 = 80.04 : x
  2. Step 2: Convert to fraction form
    100.39/149.95 = 80.04/x
  3. Step 3: Cross multiply
    100.39x = 149.95 × 80.04
  4. Step 4: Simplify right side
    100.39x = 12,001.80
  5. Step 5: Solve for x
    x = 12,001.80/100.39
  6. Step 6: Final answer
    x = 119.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.