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Finding the Fourth Proportional to 104.90, 144.77 and 80.28

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Solution

The fourth proportional to 104.90, 144.77 and 80.28 is: 110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.90 : 144.77 = 80.28 : x
  2. Step 2: Convert to fraction form
    104.90/144.77 = 80.28/x
  3. Step 3: Cross multiply
    104.90x = 144.77 × 80.28
  4. Step 4: Simplify right side
    104.90x = 11,621.73
  5. Step 5: Solve for x
    x = 11,621.73/104.90
  6. Step 6: Final answer
    x = 110.79

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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.