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Finding the Fourth Proportional to 227.88, 339.28 and 226.80

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Solution

The fourth proportional to 227.88, 339.28 and 226.80 is: 337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.88 : 339.28 = 226.80 : x
  2. Step 2: Convert to fraction form
    227.88/339.28 = 226.80/x
  3. Step 3: Cross multiply
    227.88x = 339.28 × 226.80
  4. Step 4: Simplify right side
    227.88x = 76,948.70
  5. Step 5: Solve for x
    x = 76,948.70/227.88
  6. Step 6: Final answer
    x = 337.67

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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.