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Finding the Fourth Proportional to 167.55, 249.81 and 163.28

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Solution

The fourth proportional to 167.55, 249.81 and 163.28 is: 243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.55 : 249.81 = 163.28 : x
  2. Step 2: Convert to fraction form
    167.55/249.81 = 163.28/x
  3. Step 3: Cross multiply
    167.55x = 249.81 × 163.28
  4. Step 4: Simplify right side
    167.55x = 40,787.73
  5. Step 5: Solve for x
    x = 40,787.73/167.55
  6. Step 6: Final answer
    x = 243.44

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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.