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Finding the Fourth Proportional to 171.11, 234.50 and 165.85

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Solution

The fourth proportional to 171.11, 234.50 and 165.85 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.11 : 234.50 = 165.85 : x
  2. Step 2: Convert to fraction form
    171.11/234.50 = 165.85/x
  3. Step 3: Cross multiply
    171.11x = 234.50 × 165.85
  4. Step 4: Simplify right side
    171.11x = 38,890.41
  5. Step 5: Solve for x
    x = 38,890.41/171.11
  6. Step 6: Final answer
    x = 227.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.