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Finding the Fourth Proportional to 818.69, 1,227.92 and 270.88

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Solution

The fourth proportional to 818.69, 1,227.92 and 270.88 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.69 : 1,227.92 = 270.88 : x
  2. Step 2: Convert to fraction form
    818.69/1,227.92 = 270.88/x
  3. Step 3: Cross multiply
    818.69x = 1,227.92 × 270.88
  4. Step 4: Simplify right side
    818.69x = 332,617.62
  5. Step 5: Solve for x
    x = 332,617.62/818.69
  6. Step 6: Final answer
    x = 406.28

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