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Finding the Fourth Proportional to 224.82, 311.50 and 219.96

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Solution

The fourth proportional to 224.82, 311.50 and 219.96 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 311.50 = 219.96 : x
  2. Step 2: Convert to fraction form
    224.82/311.50 = 219.96/x
  3. Step 3: Cross multiply
    224.82x = 311.50 × 219.96
  4. Step 4: Simplify right side
    224.82x = 68,517.54
  5. Step 5: Solve for x
    x = 68,517.54/224.82
  6. Step 6: Final answer
    x = 304.77

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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.