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Finding the Fourth Proportional to 276.21, 381.15 and 159.75

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Solution

The fourth proportional to 276.21, 381.15 and 159.75 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 381.15 = 159.75 : x
  2. Step 2: Convert to fraction form
    276.21/381.15 = 159.75/x
  3. Step 3: Cross multiply
    276.21x = 381.15 × 159.75
  4. Step 4: Simplify right side
    276.21x = 60,888.71
  5. Step 5: Solve for x
    x = 60,888.71/276.21
  6. Step 6: Final answer
    x = 220.44

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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.