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Finding the Fourth Proportional to 224.01, 308.87 and 213.82

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Solution

The fourth proportional to 224.01, 308.87 and 213.82 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.01 : 308.87 = 213.82 : x
  2. Step 2: Convert to fraction form
    224.01/308.87 = 213.82/x
  3. Step 3: Cross multiply
    224.01x = 308.87 × 213.82
  4. Step 4: Simplify right side
    224.01x = 66,042.58
  5. Step 5: Solve for x
    x = 66,042.58/224.01
  6. Step 6: Final answer
    x = 294.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.