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Finding the Fourth Proportional to 224.68, 311.64 and 217.12

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Solution

The fourth proportional to 224.68, 311.64 and 217.12 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 311.64 = 217.12 : x
  2. Step 2: Convert to fraction form
    224.68/311.64 = 217.12/x
  3. Step 3: Cross multiply
    224.68x = 311.64 × 217.12
  4. Step 4: Simplify right side
    224.68x = 67,663.28
  5. Step 5: Solve for x
    x = 67,663.28/224.68
  6. Step 6: Final answer
    x = 301.15

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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.