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Finding the Fourth Proportional to 278.97, 419.92 and 254.36

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Solution

The fourth proportional to 278.97, 419.92 and 254.36 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 419.92 = 254.36 : x
  2. Step 2: Convert to fraction form
    278.97/419.92 = 254.36/x
  3. Step 3: Cross multiply
    278.97x = 419.92 × 254.36
  4. Step 4: Simplify right side
    278.97x = 106,810.85
  5. Step 5: Solve for x
    x = 106,810.85/278.97
  6. Step 6: Final answer
    x = 382.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.