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Finding the Fourth Proportional to 271.11, 406.40 and 149.34

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Solution

The fourth proportional to 271.11, 406.40 and 149.34 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.11 : 406.40 = 149.34 : x
  2. Step 2: Convert to fraction form
    271.11/406.40 = 149.34/x
  3. Step 3: Cross multiply
    271.11x = 406.40 × 149.34
  4. Step 4: Simplify right side
    271.11x = 60,691.03
  5. Step 5: Solve for x
    x = 60,691.03/271.11
  6. Step 6: Final answer
    x = 223.86

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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.