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Finding the Fourth Proportional to 276.27, 414.01 and 206.55

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Solution

The fourth proportional to 276.27, 414.01 and 206.55 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.27 : 414.01 = 206.55 : x
  2. Step 2: Convert to fraction form
    276.27/414.01 = 206.55/x
  3. Step 3: Cross multiply
    276.27x = 414.01 × 206.55
  4. Step 4: Simplify right side
    276.27x = 85,513.77
  5. Step 5: Solve for x
    x = 85,513.77/276.27
  6. Step 6: Final answer
    x = 309.53

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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.