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Finding the Fourth Proportional to 276.80, 381.84 and 166.25

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Solution

The fourth proportional to 276.80, 381.84 and 166.25 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 381.84 = 166.25 : x
  2. Step 2: Convert to fraction form
    276.80/381.84 = 166.25/x
  3. Step 3: Cross multiply
    276.80x = 381.84 × 166.25
  4. Step 4: Simplify right side
    276.80x = 63,478.99
  5. Step 5: Solve for x
    x = 63,478.99/276.80
  6. Step 6: Final answer
    x = 229.34

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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.