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Finding the Fourth Proportional to 224.56, 311.21 and 221.14

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Solution

The fourth proportional to 224.56, 311.21 and 221.14 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 311.21 = 221.14 : x
  2. Step 2: Convert to fraction form
    224.56/311.21 = 221.14/x
  3. Step 3: Cross multiply
    224.56x = 311.21 × 221.14
  4. Step 4: Simplify right side
    224.56x = 68,820.75
  5. Step 5: Solve for x
    x = 68,820.75/224.56
  6. Step 6: Final answer
    x = 306.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.