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Finding the Fourth Proportional to 169.97, 255.06 and 67.35

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Solution

The fourth proportional to 169.97, 255.06 and 67.35 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.97 : 255.06 = 67.35 : x
  2. Step 2: Convert to fraction form
    169.97/255.06 = 67.35/x
  3. Step 3: Cross multiply
    169.97x = 255.06 × 67.35
  4. Step 4: Simplify right side
    169.97x = 17,176.68
  5. Step 5: Solve for x
    x = 17,176.68/169.97
  6. Step 6: Final answer
    x = 101.06

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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.