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Finding the Fourth Proportional to 227.36, 338.81 and 220.02

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Solution

The fourth proportional to 227.36, 338.81 and 220.02 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.36 : 338.81 = 220.02 : x
  2. Step 2: Convert to fraction form
    227.36/338.81 = 220.02/x
  3. Step 3: Cross multiply
    227.36x = 338.81 × 220.02
  4. Step 4: Simplify right side
    227.36x = 74,544.98
  5. Step 5: Solve for x
    x = 74,544.98/227.36
  6. Step 6: Final answer
    x = 327.87

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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.