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Finding the Fourth Proportional to 278.11, 381.30 and 273.17

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Solution

The fourth proportional to 278.11, 381.30 and 273.17 is: 374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 381.30 = 273.17 : x
  2. Step 2: Convert to fraction form
    278.11/381.30 = 273.17/x
  3. Step 3: Cross multiply
    278.11x = 381.30 × 273.17
  4. Step 4: Simplify right side
    278.11x = 104,159.65
  5. Step 5: Solve for x
    x = 104,159.65/278.11
  6. Step 6: Final answer
    x = 374.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.