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Finding the Fourth Proportional to 163.23, 244.75 and 81.97

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Solution

The fourth proportional to 163.23, 244.75 and 81.97 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.23 : 244.75 = 81.97 : x
  2. Step 2: Convert to fraction form
    163.23/244.75 = 81.97/x
  3. Step 3: Cross multiply
    163.23x = 244.75 × 81.97
  4. Step 4: Simplify right side
    163.23x = 20,062.16
  5. Step 5: Solve for x
    x = 20,062.16/163.23
  6. Step 6: Final answer
    x = 122.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.