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Finding the Fourth Proportional to 224.56, 311.56 and 214.96

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Solution

The fourth proportional to 224.56, 311.56 and 214.96 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 311.56 = 214.96 : x
  2. Step 2: Convert to fraction form
    224.56/311.56 = 214.96/x
  3. Step 3: Cross multiply
    224.56x = 311.56 × 214.96
  4. Step 4: Simplify right side
    224.56x = 66,972.94
  5. Step 5: Solve for x
    x = 66,972.94/224.56
  6. Step 6: Final answer
    x = 298.24

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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.