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Finding the Fourth Proportional to 167.14, 248.80 and 163.54

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Solution

The fourth proportional to 167.14, 248.80 and 163.54 is: 243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.14 : 248.80 = 163.54 : x
  2. Step 2: Convert to fraction form
    167.14/248.80 = 163.54/x
  3. Step 3: Cross multiply
    167.14x = 248.80 × 163.54
  4. Step 4: Simplify right side
    167.14x = 40,687.93
  5. Step 5: Solve for x
    x = 40,687.93/167.14
  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.