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Finding the Fourth Proportional to 276.92, 382.03 and 210.41

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Solution

The fourth proportional to 276.92, 382.03 and 210.41 is: 290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.92 : 382.03 = 210.41 : x
  2. Step 2: Convert to fraction form
    276.92/382.03 = 210.41/x
  3. Step 3: Cross multiply
    276.92x = 382.03 × 210.41
  4. Step 4: Simplify right side
    276.92x = 80,380.50
  5. Step 5: Solve for x
    x = 80,380.50/276.92
  6. Step 6: Final answer
    x = 290.27

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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.