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Finding the Fourth Proportional to 274.10, 379.20 and 224.88

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Solution

The fourth proportional to 274.10, 379.20 and 224.88 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 379.20 = 224.88 : x
  2. Step 2: Convert to fraction form
    274.10/379.20 = 224.88/x
  3. Step 3: Cross multiply
    274.10x = 379.20 × 224.88
  4. Step 4: Simplify right side
    274.10x = 85,274.50
  5. Step 5: Solve for x
    x = 85,274.50/274.10
  6. Step 6: Final answer
    x = 311.11

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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.