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Finding the Fourth Proportional to 276.20, 378.17 and 276.20

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Solution

The fourth proportional to 276.20, 378.17 and 276.20 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 378.17 = 276.20 : x
  2. Step 2: Convert to fraction form
    276.20/378.17 = 276.20/x
  3. Step 3: Cross multiply
    276.20x = 378.17 × 276.20
  4. Step 4: Simplify right side
    276.20x = 104,450.55
  5. Step 5: Solve for x
    x = 104,450.55/276.20
  6. Step 6: Final answer
    x = 378.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.