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Finding the Fourth Proportional to 171.27, 255.96 and 167.22

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Solution

The fourth proportional to 171.27, 255.96 and 167.22 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.27 : 255.96 = 167.22 : x
  2. Step 2: Convert to fraction form
    171.27/255.96 = 167.22/x
  3. Step 3: Cross multiply
    171.27x = 255.96 × 167.22
  4. Step 4: Simplify right side
    171.27x = 42,801.63
  5. Step 5: Solve for x
    x = 42,801.63/171.27
  6. Step 6: Final answer
    x = 249.91

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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.