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Finding the Fourth Proportional to 279.56, 380.61 and 278.69

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Solution

The fourth proportional to 279.56, 380.61 and 278.69 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 380.61 = 278.69 : x
  2. Step 2: Convert to fraction form
    279.56/380.61 = 278.69/x
  3. Step 3: Cross multiply
    279.56x = 380.61 × 278.69
  4. Step 4: Simplify right side
    279.56x = 106,070.30
  5. Step 5: Solve for x
    x = 106,070.30/279.56
  6. Step 6: Final answer
    x = 379.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.