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Finding the Fourth Proportional to 271.82, 375.11 and 161.38

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Solution

The fourth proportional to 271.82, 375.11 and 161.38 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.82 : 375.11 = 161.38 : x
  2. Step 2: Convert to fraction form
    271.82/375.11 = 161.38/x
  3. Step 3: Cross multiply
    271.82x = 375.11 × 161.38
  4. Step 4: Simplify right side
    271.82x = 60,536.43
  5. Step 5: Solve for x
    x = 60,536.43/271.82
  6. Step 6: Final answer
    x = 222.71

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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.