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Finding the Fourth Proportional to 227.28, 338.71 and 220.34

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Solution

The fourth proportional to 227.28, 338.71 and 220.34 is: 328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 338.71 = 220.34 : x
  2. Step 2: Convert to fraction form
    227.28/338.71 = 220.34/x
  3. Step 3: Cross multiply
    227.28x = 338.71 × 220.34
  4. Step 4: Simplify right side
    227.28x = 74,631.36
  5. Step 5: Solve for x
    x = 74,631.36/227.28
  6. Step 6: Final answer
    x = 328.37

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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.