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Finding the Fourth Proportional to 271.35, 406.68 and 126.75

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Solution

The fourth proportional to 271.35, 406.68 and 126.75 is: 189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.35 : 406.68 = 126.75 : x
  2. Step 2: Convert to fraction form
    271.35/406.68 = 126.75/x
  3. Step 3: Cross multiply
    271.35x = 406.68 × 126.75
  4. Step 4: Simplify right side
    271.35x = 51,546.69
  5. Step 5: Solve for x
    x = 51,546.69/271.35
  6. Step 6: Final answer
    x = 189.96

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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.