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Finding the Fourth Proportional to 252.78, 379.02 and 227.46

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Solution

The fourth proportional to 252.78, 379.02 and 227.46 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 379.02 = 227.46 : x
  2. Step 2: Convert to fraction form
    252.78/379.02 = 227.46/x
  3. Step 3: Cross multiply
    252.78x = 379.02 × 227.46
  4. Step 4: Simplify right side
    252.78x = 86,211.89
  5. Step 5: Solve for x
    x = 86,211.89/252.78
  6. Step 6: Final answer
    x = 341.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.