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Finding the Fourth Proportional to 191.97, 263.23 and 189.54

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Solution

The fourth proportional to 191.97, 263.23 and 189.54 is: 259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 263.23 = 189.54 : x
  2. Step 2: Convert to fraction form
    191.97/263.23 = 189.54/x
  3. Step 3: Cross multiply
    191.97x = 263.23 × 189.54
  4. Step 4: Simplify right side
    191.97x = 49,892.14
  5. Step 5: Solve for x
    x = 49,892.14/191.97
  6. Step 6: Final answer
    x = 259.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.