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Finding the Fourth Proportional to 169.62, 252.76 and 164.11

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Solution

The fourth proportional to 169.62, 252.76 and 164.11 is: 244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.62 : 252.76 = 164.11 : x
  2. Step 2: Convert to fraction form
    169.62/252.76 = 164.11/x
  3. Step 3: Cross multiply
    169.62x = 252.76 × 164.11
  4. Step 4: Simplify right side
    169.62x = 41,480.02
  5. Step 5: Solve for x
    x = 41,480.02/169.62
  6. Step 6: Final answer
    x = 244.55

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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.