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Finding the Fourth Proportional to 276.04, 380.40 and 198.28

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Solution

The fourth proportional to 276.04, 380.40 and 198.28 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.04 : 380.40 = 198.28 : x
  2. Step 2: Convert to fraction form
    276.04/380.40 = 198.28/x
  3. Step 3: Cross multiply
    276.04x = 380.40 × 198.28
  4. Step 4: Simplify right side
    276.04x = 75,425.71
  5. Step 5: Solve for x
    x = 75,425.71/276.04
  6. Step 6: Final answer
    x = 273.24

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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.