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Finding the Fourth Proportional to 224.88, 334.94 and 213.31

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Solution

The fourth proportional to 224.88, 334.94 and 213.31 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.88 : 334.94 = 213.31 : x
  2. Step 2: Convert to fraction form
    224.88/334.94 = 213.31/x
  3. Step 3: Cross multiply
    224.88x = 334.94 × 213.31
  4. Step 4: Simplify right side
    224.88x = 71,446.05
  5. Step 5: Solve for x
    x = 71,446.05/224.88
  6. Step 6: Final answer
    x = 317.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.