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Finding the Fourth Proportional to 169.97, 255.08 and 78.73

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Solution

The fourth proportional to 169.97, 255.08 and 78.73 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.97 : 255.08 = 78.73 : x
  2. Step 2: Convert to fraction form
    169.97/255.08 = 78.73/x
  3. Step 3: Cross multiply
    169.97x = 255.08 × 78.73
  4. Step 4: Simplify right side
    169.97x = 20,080.78
  5. Step 5: Solve for x
    x = 20,080.78/169.97
  6. Step 6: Final answer
    x = 118.15

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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.