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Finding the Fourth Proportional to 276.80, 382.34 and 211.64

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Solution

The fourth proportional to 276.80, 382.34 and 211.64 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 382.34 = 211.64 : x
  2. Step 2: Convert to fraction form
    276.80/382.34 = 211.64/x
  3. Step 3: Cross multiply
    276.80x = 382.34 × 211.64
  4. Step 4: Simplify right side
    276.80x = 80,917.05
  5. Step 5: Solve for x
    x = 80,917.05/276.80
  6. Step 6: Final answer
    x = 292.34

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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.