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Finding the Fourth Proportional to 278.64, 382.12 and 276.48

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Solution

The fourth proportional to 278.64, 382.12 and 276.48 is: 379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 382.12 = 276.48 : x
  2. Step 2: Convert to fraction form
    278.64/382.12 = 276.48/x
  3. Step 3: Cross multiply
    278.64x = 382.12 × 276.48
  4. Step 4: Simplify right side
    278.64x = 105,647.85
  5. Step 5: Solve for x
    x = 105,647.85/278.64
  6. Step 6: Final answer
    x = 379.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.