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Finding the Fourth Proportional to 227.25, 338.00 and 222.90

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Solution

The fourth proportional to 227.25, 338.00 and 222.90 is: 331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 338.00 = 222.90 : x
  2. Step 2: Convert to fraction form
    227.25/338.00 = 222.90/x
  3. Step 3: Cross multiply
    227.25x = 338.00 × 222.90
  4. Step 4: Simplify right side
    227.25x = 75,337.82
  5. Step 5: Solve for x
    x = 75,337.82/227.25
  6. Step 6: Final answer
    x = 331.51

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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.