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Finding the Fourth Proportional to 104.39, 144.02 and 82.49

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Solution

The fourth proportional to 104.39, 144.02 and 82.49 is: 113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.39 : 144.02 = 82.49 : x
  2. Step 2: Convert to fraction form
    104.39/144.02 = 82.49/x
  3. Step 3: Cross multiply
    104.39x = 144.02 × 82.49
  4. Step 4: Simplify right side
    104.39x = 11,879.70
  5. Step 5: Solve for x
    x = 11,879.70/104.39
  6. Step 6: Final answer
    x = 113.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.