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Finding the Fourth Proportional to 297.82, 447.23 and 224.70

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Solution

The fourth proportional to 297.82, 447.23 and 224.70 is: 337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 447.23 = 224.70 : x
  2. Step 2: Convert to fraction form
    297.82/447.23 = 224.70/x
  3. Step 3: Cross multiply
    297.82x = 447.23 × 224.70
  4. Step 4: Simplify right side
    297.82x = 100,492.58
  5. Step 5: Solve for x
    x = 100,492.58/297.82
  6. Step 6: Final answer
    x = 337.43

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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.