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Finding the Fourth Proportional to 276.21, 414.07 and 252.14

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Solution

The fourth proportional to 276.21, 414.07 and 252.14 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 414.07 = 252.14 : x
  2. Step 2: Convert to fraction form
    276.21/414.07 = 252.14/x
  3. Step 3: Cross multiply
    276.21x = 414.07 × 252.14
  4. Step 4: Simplify right side
    276.21x = 104,400.85
  5. Step 5: Solve for x
    x = 104,400.85/276.21
  6. Step 6: Final answer
    x = 377.97

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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.