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Finding the Fourth Proportional to 220.82, 331.02 and 112.37

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Solution

The fourth proportional to 220.82, 331.02 and 112.37 is: 168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 331.02 = 112.37 : x
  2. Step 2: Convert to fraction form
    220.82/331.02 = 112.37/x
  3. Step 3: Cross multiply
    220.82x = 331.02 × 112.37
  4. Step 4: Simplify right side
    220.82x = 37,195.06
  5. Step 5: Solve for x
    x = 37,195.06/220.82
  6. Step 6: Final answer
    x = 168.44

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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.