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Finding the Fourth Proportional to 271.94, 408.11 and 199.98

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Solution

The fourth proportional to 271.94, 408.11 and 199.98 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 408.11 = 199.98 : x
  2. Step 2: Convert to fraction form
    271.94/408.11 = 199.98/x
  3. Step 3: Cross multiply
    271.94x = 408.11 × 199.98
  4. Step 4: Simplify right side
    271.94x = 81,612.84
  5. Step 5: Solve for x
    x = 81,612.84/271.94
  6. Step 6: Final answer
    x = 300.12

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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.