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Finding the Fourth Proportional to 276.44, 380.54 and 220.76

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Solution

The fourth proportional to 276.44, 380.54 and 220.76 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 380.54 = 220.76 : x
  2. Step 2: Convert to fraction form
    276.44/380.54 = 220.76/x
  3. Step 3: Cross multiply
    276.44x = 380.54 × 220.76
  4. Step 4: Simplify right side
    276.44x = 84,008.01
  5. Step 5: Solve for x
    x = 84,008.01/276.44
  6. Step 6: Final answer
    x = 303.89

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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.