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Finding the Fourth Proportional to 253.78, 350.38 and 227.46

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Solution

The fourth proportional to 253.78, 350.38 and 227.46 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 350.38 = 227.46 : x
  2. Step 2: Convert to fraction form
    253.78/350.38 = 227.46/x
  3. Step 3: Cross multiply
    253.78x = 350.38 × 227.46
  4. Step 4: Simplify right side
    253.78x = 79,697.43
  5. Step 5: Solve for x
    x = 79,697.43/253.78
  6. Step 6: Final answer
    x = 314.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.