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Finding the Fourth Proportional to 286.43, 394.69 and 197.94

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Solution

The fourth proportional to 286.43, 394.69 and 197.94 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.43 : 394.69 = 197.94 : x
  2. Step 2: Convert to fraction form
    286.43/394.69 = 197.94/x
  3. Step 3: Cross multiply
    286.43x = 394.69 × 197.94
  4. Step 4: Simplify right side
    286.43x = 78,124.94
  5. Step 5: Solve for x
    x = 78,124.94/286.43
  6. Step 6: Final answer
    x = 272.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.