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Finding the Fourth Proportional to 224.64, 338.22 and 204.75

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Solution

The fourth proportional to 224.64, 338.22 and 204.75 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 338.22 = 204.75 : x
  2. Step 2: Convert to fraction form
    224.64/338.22 = 204.75/x
  3. Step 3: Cross multiply
    224.64x = 338.22 × 204.75
  4. Step 4: Simplify right side
    224.64x = 69,250.55
  5. Step 5: Solve for x
    x = 69,250.55/224.64
  6. Step 6: Final answer
    x = 308.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.