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Finding the Fourth Proportional to 276.02, 380.46 and 196.29

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Solution

The fourth proportional to 276.02, 380.46 and 196.29 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 380.46 = 196.29 : x
  2. Step 2: Convert to fraction form
    276.02/380.46 = 196.29/x
  3. Step 3: Cross multiply
    276.02x = 380.46 × 196.29
  4. Step 4: Simplify right side
    276.02x = 74,680.49
  5. Step 5: Solve for x
    x = 74,680.49/276.02
  6. Step 6: Final answer
    x = 270.56

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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.