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Finding the Fourth Proportional to 552.44, 828.06 and 227.42

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Solution

The fourth proportional to 552.44, 828.06 and 227.42 is: 340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 828.06 = 227.42 : x
  2. Step 2: Convert to fraction form
    552.44/828.06 = 227.42/x
  3. Step 3: Cross multiply
    552.44x = 828.06 × 227.42
  4. Step 4: Simplify right side
    552.44x = 188,317.41
  5. Step 5: Solve for x
    x = 188,317.41/552.44
  6. Step 6: Final answer
    x = 340.88

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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.