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Finding the Fourth Proportional to 278.51, 381.85 and 277.76

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Solution

The fourth proportional to 278.51, 381.85 and 277.76 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 381.85 = 277.76 : x
  2. Step 2: Convert to fraction form
    278.51/381.85 = 277.76/x
  3. Step 3: Cross multiply
    278.51x = 381.85 × 277.76
  4. Step 4: Simplify right side
    278.51x = 106,062.92
  5. Step 5: Solve for x
    x = 106,062.92/278.51
  6. Step 6: Final answer
    x = 380.83

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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.