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Finding the Fourth Proportional to 227.72, 339.57 and 225.66

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Solution

The fourth proportional to 227.72, 339.57 and 225.66 is: 336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 339.57 = 225.66 : x
  2. Step 2: Convert to fraction form
    227.72/339.57 = 225.66/x
  3. Step 3: Cross multiply
    227.72x = 339.57 × 225.66
  4. Step 4: Simplify right side
    227.72x = 76,626.73
  5. Step 5: Solve for x
    x = 76,626.73/227.72
  6. Step 6: Final answer
    x = 336.50

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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.