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Finding the Fourth Proportional to 227.85, 339.55 and 221.25

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Solution

The fourth proportional to 227.85, 339.55 and 221.25 is: 329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 339.55 = 221.25 : x
  2. Step 2: Convert to fraction form
    227.85/339.55 = 221.25/x
  3. Step 3: Cross multiply
    227.85x = 339.55 × 221.25
  4. Step 4: Simplify right side
    227.85x = 75,125.44
  5. Step 5: Solve for x
    x = 75,125.44/227.85
  6. Step 6: Final answer
    x = 329.71

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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.