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Finding the Fourth Proportional to 278.94, 385.11 and 191.73

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Solution

The fourth proportional to 278.94, 385.11 and 191.73 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 385.11 = 191.73 : x
  2. Step 2: Convert to fraction form
    278.94/385.11 = 191.73/x
  3. Step 3: Cross multiply
    278.94x = 385.11 × 191.73
  4. Step 4: Simplify right side
    278.94x = 73,837.14
  5. Step 5: Solve for x
    x = 73,837.14/278.94
  6. Step 6: Final answer
    x = 264.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.