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Finding the Fourth Proportional to 478.26, 660.02 and 281.78

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Solution

The fourth proportional to 478.26, 660.02 and 281.78 is: 388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 660.02 = 281.78 : x
  2. Step 2: Convert to fraction form
    478.26/660.02 = 281.78/x
  3. Step 3: Cross multiply
    478.26x = 660.02 × 281.78
  4. Step 4: Simplify right side
    478.26x = 185,975.73
  5. Step 5: Solve for x
    x = 185,975.73/478.26
  6. Step 6: Final answer
    x = 388.86

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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.