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Finding the Fourth Proportional to 276.23, 414.41 and 120.12

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Solution

The fourth proportional to 276.23, 414.41 and 120.12 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.23 : 414.41 = 120.12 : x
  2. Step 2: Convert to fraction form
    276.23/414.41 = 120.12/x
  3. Step 3: Cross multiply
    276.23x = 414.41 × 120.12
  4. Step 4: Simplify right side
    276.23x = 49,778.33
  5. Step 5: Solve for x
    x = 49,778.33/276.23
  6. Step 6: Final answer
    x = 180.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.