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Finding the Fourth Proportional to 279.26, 387.96 and 276.73

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Solution

The fourth proportional to 279.26, 387.96 and 276.73 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.26 : 387.96 = 276.73 : x
  2. Step 2: Convert to fraction form
    279.26/387.96 = 276.73/x
  3. Step 3: Cross multiply
    279.26x = 387.96 × 276.73
  4. Step 4: Simplify right side
    279.26x = 107,360.17
  5. Step 5: Solve for x
    x = 107,360.17/279.26
  6. Step 6: Final answer
    x = 384.45

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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.