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Finding the Fourth Proportional to 276.36, 414.20 and 122.18

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Solution

The fourth proportional to 276.36, 414.20 and 122.18 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 414.20 = 122.18 : x
  2. Step 2: Convert to fraction form
    276.36/414.20 = 122.18/x
  3. Step 3: Cross multiply
    276.36x = 414.20 × 122.18
  4. Step 4: Simplify right side
    276.36x = 50,606.96
  5. Step 5: Solve for x
    x = 50,606.96/276.36
  6. Step 6: Final answer
    x = 183.12

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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.