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Finding the Fourth Proportional to 177.40, 243.47 and 169.72

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Solution

The fourth proportional to 177.40, 243.47 and 169.72 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 243.47 = 169.72 : x
  2. Step 2: Convert to fraction form
    177.40/243.47 = 169.72/x
  3. Step 3: Cross multiply
    177.40x = 243.47 × 169.72
  4. Step 4: Simplify right side
    177.40x = 41,321.73
  5. Step 5: Solve for x
    x = 41,321.73/177.40
  6. Step 6: Final answer
    x = 232.93

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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.