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Finding the Fourth Proportional to 271.13, 406.09 and 194.18

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Solution

The fourth proportional to 271.13, 406.09 and 194.18 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.13 : 406.09 = 194.18 : x
  2. Step 2: Convert to fraction form
    271.13/406.09 = 194.18/x
  3. Step 3: Cross multiply
    271.13x = 406.09 × 194.18
  4. Step 4: Simplify right side
    271.13x = 78,855.09
  5. Step 5: Solve for x
    x = 78,855.09/271.13
  6. Step 6: Final answer
    x = 290.84

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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.