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Finding the Fourth Proportional to 163.11, 244.32 and 81.84

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Solution

The fourth proportional to 163.11, 244.32 and 81.84 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.11 : 244.32 = 81.84 : x
  2. Step 2: Convert to fraction form
    163.11/244.32 = 81.84/x
  3. Step 3: Cross multiply
    163.11x = 244.32 × 81.84
  4. Step 4: Simplify right side
    163.11x = 19,995.15
  5. Step 5: Solve for x
    x = 19,995.15/163.11
  6. Step 6: Final answer
    x = 122.59

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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.