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Finding the Fourth Proportional to 227.69, 338.64 and 224.85

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Solution

The fourth proportional to 227.69, 338.64 and 224.85 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.69 : 338.64 = 224.85 : x
  2. Step 2: Convert to fraction form
    227.69/338.64 = 224.85/x
  3. Step 3: Cross multiply
    227.69x = 338.64 × 224.85
  4. Step 4: Simplify right side
    227.69x = 76,143.20
  5. Step 5: Solve for x
    x = 76,143.20/227.69
  6. Step 6: Final answer
    x = 334.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.