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Finding the Fourth Proportional to 167.20, 231.71 and 163.96

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Solution

The fourth proportional to 167.20, 231.71 and 163.96 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 231.71 = 163.96 : x
  2. Step 2: Convert to fraction form
    167.20/231.71 = 163.96/x
  3. Step 3: Cross multiply
    167.20x = 231.71 × 163.96
  4. Step 4: Simplify right side
    167.20x = 37,989.77
  5. Step 5: Solve for x
    x = 37,989.77/167.20
  6. Step 6: Final answer
    x = 227.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.