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Finding the Fourth Proportional to 171.81, 255.38 and 167.27

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Solution

The fourth proportional to 171.81, 255.38 and 167.27 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.81 : 255.38 = 167.27 : x
  2. Step 2: Convert to fraction form
    171.81/255.38 = 167.27/x
  3. Step 3: Cross multiply
    171.81x = 255.38 × 167.27
  4. Step 4: Simplify right side
    171.81x = 42,715.30
  5. Step 5: Solve for x
    x = 42,715.30/171.81
  6. Step 6: Final answer
    x = 248.62

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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.