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Finding the Fourth Proportional to 271.99, 375.28 and 161.42

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Solution

The fourth proportional to 271.99, 375.28 and 161.42 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.99 : 375.28 = 161.42 : x
  2. Step 2: Convert to fraction form
    271.99/375.28 = 161.42/x
  3. Step 3: Cross multiply
    271.99x = 375.28 × 161.42
  4. Step 4: Simplify right side
    271.99x = 60,577.70
  5. Step 5: Solve for x
    x = 60,577.70/271.99
  6. Step 6: Final answer
    x = 222.72

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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.