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Finding the Fourth Proportional to 276.12, 380.95 and 158.09

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Solution

The fourth proportional to 276.12, 380.95 and 158.09 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 380.95 = 158.09 : x
  2. Step 2: Convert to fraction form
    276.12/380.95 = 158.09/x
  3. Step 3: Cross multiply
    276.12x = 380.95 × 158.09
  4. Step 4: Simplify right side
    276.12x = 60,222.09
  5. Step 5: Solve for x
    x = 60,222.09/276.12
  6. Step 6: Final answer
    x = 218.10

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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.