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Finding the Fourth Proportional to 191.09, 286.10 and 126.83

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Solution

The fourth proportional to 191.09, 286.10 and 126.83 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 286.10 = 126.83 : x
  2. Step 2: Convert to fraction form
    191.09/286.10 = 126.83/x
  3. Step 3: Cross multiply
    191.09x = 286.10 × 126.83
  4. Step 4: Simplify right side
    191.09x = 36,286.62
  5. Step 5: Solve for x
    x = 36,286.62/191.09
  6. Step 6: Final answer
    x = 189.89

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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.