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Finding the Fourth Proportional to 286.97, 396.18 and 199.49

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Solution

The fourth proportional to 286.97, 396.18 and 199.49 is: 275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 396.18 = 199.49 : x
  2. Step 2: Convert to fraction form
    286.97/396.18 = 199.49/x
  3. Step 3: Cross multiply
    286.97x = 396.18 × 199.49
  4. Step 4: Simplify right side
    286.97x = 79,031.97
  5. Step 5: Solve for x
    x = 79,031.97/286.97
  6. Step 6: Final answer
    x = 275.41

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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.