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Finding the Fourth Proportional to 208.27, 311.91 and 126.91

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Solution

The fourth proportional to 208.27, 311.91 and 126.91 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.27 : 311.91 = 126.91 : x
  2. Step 2: Convert to fraction form
    208.27/311.91 = 126.91/x
  3. Step 3: Cross multiply
    208.27x = 311.91 × 126.91
  4. Step 4: Simplify right side
    208.27x = 39,584.50
  5. Step 5: Solve for x
    x = 39,584.50/208.27
  6. Step 6: Final answer
    x = 190.06

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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.