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Finding the Fourth Proportional to 169.29, 252.11 and 166.25

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Solution

The fourth proportional to 169.29, 252.11 and 166.25 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 252.11 = 166.25 : x
  2. Step 2: Convert to fraction form
    169.29/252.11 = 166.25/x
  3. Step 3: Cross multiply
    169.29x = 252.11 × 166.25
  4. Step 4: Simplify right side
    169.29x = 41,914.33
  5. Step 5: Solve for x
    x = 41,914.33/169.29
  6. Step 6: Final answer
    x = 247.59

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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.