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Finding the Fourth Proportional to 276.06, 415.71 and 199.56

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Solution

The fourth proportional to 276.06, 415.71 and 199.56 is: 300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 415.71 = 199.56 : x
  2. Step 2: Convert to fraction form
    276.06/415.71 = 199.56/x
  3. Step 3: Cross multiply
    276.06x = 415.71 × 199.56
  4. Step 4: Simplify right side
    276.06x = 82,959.09
  5. Step 5: Solve for x
    x = 82,959.09/276.06
  6. Step 6: Final answer
    x = 300.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.