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Finding the Fourth Proportional to 276.27, 380.75 and 198.51

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Solution

The fourth proportional to 276.27, 380.75 and 198.51 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.27 : 380.75 = 198.51 : x
  2. Step 2: Convert to fraction form
    276.27/380.75 = 198.51/x
  3. Step 3: Cross multiply
    276.27x = 380.75 × 198.51
  4. Step 4: Simplify right side
    276.27x = 75,581.69
  5. Step 5: Solve for x
    x = 75,581.69/276.27
  6. Step 6: Final answer
    x = 273.58

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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.