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Finding the Fourth Proportional to 278.73, 385.07 and 276.57

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Solution

The fourth proportional to 278.73, 385.07 and 276.57 is: 382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 385.07 = 276.57 : x
  2. Step 2: Convert to fraction form
    278.73/385.07 = 276.57/x
  3. Step 3: Cross multiply
    278.73x = 385.07 × 276.57
  4. Step 4: Simplify right side
    278.73x = 106,497.43
  5. Step 5: Solve for x
    x = 106,497.43/278.73
  6. Step 6: Final answer
    x = 382.08

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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.