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Finding the Fourth Proportional to 171.29, 255.10 and 160.82

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Solution

The fourth proportional to 171.29, 255.10 and 160.82 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.29 : 255.10 = 160.82 : x
  2. Step 2: Convert to fraction form
    171.29/255.10 = 160.82/x
  3. Step 3: Cross multiply
    171.29x = 255.10 × 160.82
  4. Step 4: Simplify right side
    171.29x = 41,023.91
  5. Step 5: Solve for x
    x = 41,023.91/171.29
  6. Step 6: Final answer
    x = 239.50

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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.