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Finding the Fourth Proportional to 191.43, 262.89 and 163.80

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Solution

The fourth proportional to 191.43, 262.89 and 163.80 is: 224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.43 : 262.89 = 163.80 : x
  2. Step 2: Convert to fraction form
    191.43/262.89 = 163.80/x
  3. Step 3: Cross multiply
    191.43x = 262.89 × 163.80
  4. Step 4: Simplify right side
    191.43x = 43,061.38
  5. Step 5: Solve for x
    x = 43,061.38/191.43
  6. Step 6: Final answer
    x = 224.95

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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.