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Finding the Fourth Proportional to 818.78, 1,228.16 and 270.95

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Solution

The fourth proportional to 818.78, 1,228.16 and 270.95 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.78 : 1,228.16 = 270.95 : x
  2. Step 2: Convert to fraction form
    818.78/1,228.16 = 270.95/x
  3. Step 3: Cross multiply
    818.78x = 1,228.16 × 270.95
  4. Step 4: Simplify right side
    818.78x = 332,769.95
  5. Step 5: Solve for x
    x = 332,769.95/818.78
  6. Step 6: Final answer
    x = 406.42

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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.