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Finding the Fourth Proportional to 276.63, 414.47 and 199.22

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Solution

The fourth proportional to 276.63, 414.47 and 199.22 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 414.47 = 199.22 : x
  2. Step 2: Convert to fraction form
    276.63/414.47 = 199.22/x
  3. Step 3: Cross multiply
    276.63x = 414.47 × 199.22
  4. Step 4: Simplify right side
    276.63x = 82,567.64
  5. Step 5: Solve for x
    x = 82,567.64/276.63
  6. Step 6: Final answer
    x = 298.48

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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.