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Finding the Fourth Proportional to 278.82, 379.80 and 273.42

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Solution

The fourth proportional to 278.82, 379.80 and 273.42 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 379.80 = 273.42 : x
  2. Step 2: Convert to fraction form
    278.82/379.80 = 273.42/x
  3. Step 3: Cross multiply
    278.82x = 379.80 × 273.42
  4. Step 4: Simplify right side
    278.82x = 103,844.92
  5. Step 5: Solve for x
    x = 103,844.92/278.82
  6. Step 6: Final answer
    x = 372.44

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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.