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Finding the Fourth Proportional to 286.19, 396.60 and 280.73

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Solution

The fourth proportional to 286.19, 396.60 and 280.73 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.19 : 396.60 = 280.73 : x
  2. Step 2: Convert to fraction form
    286.19/396.60 = 280.73/x
  3. Step 3: Cross multiply
    286.19x = 396.60 × 280.73
  4. Step 4: Simplify right side
    286.19x = 111,335.54
  5. Step 5: Solve for x
    x = 111,335.54/286.19
  6. Step 6: Final answer
    x = 389.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.