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Finding the Fourth Proportional to 272.97, 409.80 and 199.85

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Solution

The fourth proportional to 272.97, 409.80 and 199.85 is: 300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 409.80 = 199.85 : x
  2. Step 2: Convert to fraction form
    272.97/409.80 = 199.85/x
  3. Step 3: Cross multiply
    272.97x = 409.80 × 199.85
  4. Step 4: Simplify right side
    272.97x = 81,896.48
  5. Step 5: Solve for x
    x = 81,896.48/272.97
  6. Step 6: Final answer
    x = 300.02

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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.