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Finding the Fourth Proportional to 171.27, 237.54 and 165.44

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Solution

The fourth proportional to 171.27, 237.54 and 165.44 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.27 : 237.54 = 165.44 : x
  2. Step 2: Convert to fraction form
    171.27/237.54 = 165.44/x
  3. Step 3: Cross multiply
    171.27x = 237.54 × 165.44
  4. Step 4: Simplify right side
    171.27x = 39,297.43
  5. Step 5: Solve for x
    x = 39,297.43/171.27
  6. Step 6: Final answer
    x = 229.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.