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Finding the Fourth Proportional to 278.97, 418.45 and 254.94

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Solution

The fourth proportional to 278.97, 418.45 and 254.94 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 418.45 = 254.94 : x
  2. Step 2: Convert to fraction form
    278.97/418.45 = 254.94/x
  3. Step 3: Cross multiply
    278.97x = 418.45 × 254.94
  4. Step 4: Simplify right side
    278.97x = 106,679.64
  5. Step 5: Solve for x
    x = 106,679.64/278.97
  6. Step 6: Final answer
    x = 382.41

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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.