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Finding the Fourth Proportional to 276.68, 381.74 and 198.02

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Solution

The fourth proportional to 276.68, 381.74 and 198.02 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 381.74 = 198.02 : x
  2. Step 2: Convert to fraction form
    276.68/381.74 = 198.02/x
  3. Step 3: Cross multiply
    276.68x = 381.74 × 198.02
  4. Step 4: Simplify right side
    276.68x = 75,589.26
  5. Step 5: Solve for x
    x = 75,589.26/276.68
  6. Step 6: Final answer
    x = 273.21

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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.