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Finding the Fourth Proportional to 169.27, 252.40 and 166.71

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Solution

The fourth proportional to 169.27, 252.40 and 166.71 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 252.40 = 166.71 : x
  2. Step 2: Convert to fraction form
    169.27/252.40 = 166.71/x
  3. Step 3: Cross multiply
    169.27x = 252.40 × 166.71
  4. Step 4: Simplify right side
    169.27x = 42,077.60
  5. Step 5: Solve for x
    x = 42,077.60/169.27
  6. Step 6: Final answer
    x = 248.58

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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.