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Finding the Fourth Proportional to 271.34, 406.31 and 179.90

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Solution

The fourth proportional to 271.34, 406.31 and 179.90 is: 269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.34 : 406.31 = 179.90 : x
  2. Step 2: Convert to fraction form
    271.34/406.31 = 179.90/x
  3. Step 3: Cross multiply
    271.34x = 406.31 × 179.90
  4. Step 4: Simplify right side
    271.34x = 73,092.24
  5. Step 5: Solve for x
    x = 73,092.24/271.34
  6. Step 6: Final answer
    x = 269.38

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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.