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Finding the Fourth Proportional to 224.78, 308.21 and 219.31

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Solution

The fourth proportional to 224.78, 308.21 and 219.31 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 308.21 = 219.31 : x
  2. Step 2: Convert to fraction form
    224.78/308.21 = 219.31/x
  3. Step 3: Cross multiply
    224.78x = 308.21 × 219.31
  4. Step 4: Simplify right side
    224.78x = 67,591.67
  5. Step 5: Solve for x
    x = 67,591.67/224.78
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.