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Finding the Fourth Proportional to 227.40, 338.86 and 217.27

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Solution

The fourth proportional to 227.40, 338.86 and 217.27 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 338.86 = 217.27 : x
  2. Step 2: Convert to fraction form
    227.40/338.86 = 217.27/x
  3. Step 3: Cross multiply
    227.40x = 338.86 × 217.27
  4. Step 4: Simplify right side
    227.40x = 73,624.11
  5. Step 5: Solve for x
    x = 73,624.11/227.40
  6. Step 6: Final answer
    x = 323.76

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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.