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Finding the Fourth Proportional to 276.68, 382.82 and 241.79

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Solution

The fourth proportional to 276.68, 382.82 and 241.79 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 382.82 = 241.79 : x
  2. Step 2: Convert to fraction form
    276.68/382.82 = 241.79/x
  3. Step 3: Cross multiply
    276.68x = 382.82 × 241.79
  4. Step 4: Simplify right side
    276.68x = 92,562.05
  5. Step 5: Solve for x
    x = 92,562.05/276.68
  6. Step 6: Final answer
    x = 334.55

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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.