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Finding the Fourth Proportional to 167.54, 249.46 and 161.69

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Solution

The fourth proportional to 167.54, 249.46 and 161.69 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 249.46 = 161.69 : x
  2. Step 2: Convert to fraction form
    167.54/249.46 = 161.69/x
  3. Step 3: Cross multiply
    167.54x = 249.46 × 161.69
  4. Step 4: Simplify right side
    167.54x = 40,335.19
  5. Step 5: Solve for x
    x = 40,335.19/167.54
  6. Step 6: Final answer
    x = 240.76

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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.