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Finding the Fourth Proportional to 177.31, 243.67 and 169.29

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Solution

The fourth proportional to 177.31, 243.67 and 169.29 is: 232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.31 : 243.67 = 169.29 : x
  2. Step 2: Convert to fraction form
    177.31/243.67 = 169.29/x
  3. Step 3: Cross multiply
    177.31x = 243.67 × 169.29
  4. Step 4: Simplify right side
    177.31x = 41,251.03
  5. Step 5: Solve for x
    x = 41,251.03/177.31
  6. Step 6: Final answer
    x = 232.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.