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Finding the Fourth Proportional to 223.92, 311.08 and 221.92

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Solution

The fourth proportional to 223.92, 311.08 and 221.92 is: 308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 311.08 = 221.92 : x
  2. Step 2: Convert to fraction form
    223.92/311.08 = 221.92/x
  3. Step 3: Cross multiply
    223.92x = 311.08 × 221.92
  4. Step 4: Simplify right side
    223.92x = 69,034.87
  5. Step 5: Solve for x
    x = 69,034.87/223.92
  6. Step 6: Final answer
    x = 308.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.