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Finding the Fourth Proportional to 276.16, 380.96 and 189.04

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Solution

The fourth proportional to 276.16, 380.96 and 189.04 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 380.96 = 189.04 : x
  2. Step 2: Convert to fraction form
    276.16/380.96 = 189.04/x
  3. Step 3: Cross multiply
    276.16x = 380.96 × 189.04
  4. Step 4: Simplify right side
    276.16x = 72,016.68
  5. Step 5: Solve for x
    x = 72,016.68/276.16
  6. Step 6: Final answer
    x = 260.78

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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.