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Finding the Fourth Proportional to 279.80, 387.74 and 276.48

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Solution

The fourth proportional to 279.80, 387.74 and 276.48 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.80 : 387.74 = 276.48 : x
  2. Step 2: Convert to fraction form
    279.80/387.74 = 276.48/x
  3. Step 3: Cross multiply
    279.80x = 387.74 × 276.48
  4. Step 4: Simplify right side
    279.80x = 107,202.36
  5. Step 5: Solve for x
    x = 107,202.36/279.80
  6. Step 6: Final answer
    x = 383.14

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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.