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Finding the Fourth Proportional to 171.67, 255.65 and 167.11

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Solution

The fourth proportional to 171.67, 255.65 and 167.11 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.67 : 255.65 = 167.11 : x
  2. Step 2: Convert to fraction form
    171.67/255.65 = 167.11/x
  3. Step 3: Cross multiply
    171.67x = 255.65 × 167.11
  4. Step 4: Simplify right side
    171.67x = 42,721.67
  5. Step 5: Solve for x
    x = 42,721.67/171.67
  6. Step 6: Final answer
    x = 248.86

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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.