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Finding the Fourth Proportional to 279.48, 382.65 and 276.84

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Solution

The fourth proportional to 279.48, 382.65 and 276.84 is: 379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.48 : 382.65 = 276.84 : x
  2. Step 2: Convert to fraction form
    279.48/382.65 = 276.84/x
  3. Step 3: Cross multiply
    279.48x = 382.65 × 276.84
  4. Step 4: Simplify right side
    279.48x = 105,932.83
  5. Step 5: Solve for x
    x = 105,932.83/279.48
  6. Step 6: Final answer
    x = 379.04

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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.