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Finding the Fourth Proportional to 278.94, 386.61 and 273.75

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Solution

The fourth proportional to 278.94, 386.61 and 273.75 is: 379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 386.61 = 273.75 : x
  2. Step 2: Convert to fraction form
    278.94/386.61 = 273.75/x
  3. Step 3: Cross multiply
    278.94x = 386.61 × 273.75
  4. Step 4: Simplify right side
    278.94x = 105,835.85
  5. Step 5: Solve for x
    x = 105,835.85/278.94
  6. Step 6: Final answer
    x = 379.42

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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.