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Finding the Fourth Proportional to 169.87, 252.85 and 166.09

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Solution

The fourth proportional to 169.87, 252.85 and 166.09 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.87 : 252.85 = 166.09 : x
  2. Step 2: Convert to fraction form
    169.87/252.85 = 166.09/x
  3. Step 3: Cross multiply
    169.87x = 252.85 × 166.09
  4. Step 4: Simplify right side
    169.87x = 41,995.86
  5. Step 5: Solve for x
    x = 41,995.86/169.87
  6. Step 6: Final answer
    x = 247.22

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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.