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Finding the Fourth Proportional to 269.72, 372.46 and 171.66

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Solution

The fourth proportional to 269.72, 372.46 and 171.66 is: 237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 372.46 = 171.66 : x
  2. Step 2: Convert to fraction form
    269.72/372.46 = 171.66/x
  3. Step 3: Cross multiply
    269.72x = 372.46 × 171.66
  4. Step 4: Simplify right side
    269.72x = 63,936.48
  5. Step 5: Solve for x
    x = 63,936.48/269.72
  6. Step 6: Final answer
    x = 237.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.