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Finding the Fourth Proportional to 818.89, 1,228.07 and 270.92

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Solution

The fourth proportional to 818.89, 1,228.07 and 270.92 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.89 : 1,228.07 = 270.92 : x
  2. Step 2: Convert to fraction form
    818.89/1,228.07 = 270.92/x
  3. Step 3: Cross multiply
    818.89x = 1,228.07 × 270.92
  4. Step 4: Simplify right side
    818.89x = 332,708.72
  5. Step 5: Solve for x
    x = 332,708.72/818.89
  6. Step 6: Final answer
    x = 406.29

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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.