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Finding the Fourth Proportional to 171.29, 255.68 and 156.86

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Solution

The fourth proportional to 171.29, 255.68 and 156.86 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.29 : 255.68 = 156.86 : x
  2. Step 2: Convert to fraction form
    171.29/255.68 = 156.86/x
  3. Step 3: Cross multiply
    171.29x = 255.68 × 156.86
  4. Step 4: Simplify right side
    171.29x = 40,105.96
  5. Step 5: Solve for x
    x = 40,105.96/171.29
  6. Step 6: Final answer
    x = 234.14

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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.