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Finding the Fourth Proportional to 167.54, 232.20 and 161.87

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Solution

The fourth proportional to 167.54, 232.20 and 161.87 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 232.20 = 161.87 : x
  2. Step 2: Convert to fraction form
    167.54/232.20 = 161.87/x
  3. Step 3: Cross multiply
    167.54x = 232.20 × 161.87
  4. Step 4: Simplify right side
    167.54x = 37,585.05
  5. Step 5: Solve for x
    x = 37,585.05/167.54
  6. Step 6: Final answer
    x = 224.34

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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.