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Finding the Fourth Proportional to 276, 380.86 and 159.56

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Solution

The fourth proportional to 276, 380.86 and 159.56 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 380.86 = 159.56 : x
  2. Step 2: Convert to fraction form
    276/380.86 = 159.56/x
  3. Step 3: Cross multiply
    276x = 380.86 × 159.56
  4. Step 4: Simplify right side
    276x = 60,770.02
  5. Step 5: Solve for x
    x = 60,770.02/276
  6. Step 6: Final answer
    x = 220.18

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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.