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Finding the Fourth Proportional to 278.73, 387.07 and 276.03

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Solution

The fourth proportional to 278.73, 387.07 and 276.03 is: 383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 387.07 = 276.03 : x
  2. Step 2: Convert to fraction form
    278.73/387.07 = 276.03/x
  3. Step 3: Cross multiply
    278.73x = 387.07 × 276.03
  4. Step 4: Simplify right side
    278.73x = 106,842.24
  5. Step 5: Solve for x
    x = 106,842.24/278.73
  6. Step 6: Final answer
    x = 383.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.