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Finding the Fourth Proportional to 167.96, 232.96 and 161.81

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Solution

The fourth proportional to 167.96, 232.96 and 161.81 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 232.96 = 161.81 : x
  2. Step 2: Convert to fraction form
    167.96/232.96 = 161.81/x
  3. Step 3: Cross multiply
    167.96x = 232.96 × 161.81
  4. Step 4: Simplify right side
    167.96x = 37,693.69
  5. Step 5: Solve for x
    x = 37,693.69/167.96
  6. Step 6: Final answer
    x = 224.43

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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.