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Finding the Fourth Proportional to 271.59, 374.84 and 201.73

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Solution

The fourth proportional to 271.59, 374.84 and 201.73 is: 278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.59 : 374.84 = 201.73 : x
  2. Step 2: Convert to fraction form
    271.59/374.84 = 201.73/x
  3. Step 3: Cross multiply
    271.59x = 374.84 × 201.73
  4. Step 4: Simplify right side
    271.59x = 75,616.47
  5. Step 5: Solve for x
    x = 75,616.47/271.59
  6. Step 6: Final answer
    x = 278.42

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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.