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Finding the Fourth Proportional to 276.84, 414.50 and 255.33

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Solution

The fourth proportional to 276.84, 414.50 and 255.33 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 414.50 = 255.33 : x
  2. Step 2: Convert to fraction form
    276.84/414.50 = 255.33/x
  3. Step 3: Cross multiply
    276.84x = 414.50 × 255.33
  4. Step 4: Simplify right side
    276.84x = 105,833.01
  5. Step 5: Solve for x
    x = 105,833.01/276.84
  6. Step 6: Final answer
    x = 382.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.