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Finding the Fourth Proportional to 191.97, 287.73 and 142.43

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Solution

The fourth proportional to 191.97, 287.73 and 142.43 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 287.73 = 142.43 : x
  2. Step 2: Convert to fraction form
    191.97/287.73 = 142.43/x
  3. Step 3: Cross multiply
    191.97x = 287.73 × 142.43
  4. Step 4: Simplify right side
    191.97x = 40,979.95
  5. Step 5: Solve for x
    x = 40,979.95/191.97
  6. Step 6: Final answer
    x = 213.47

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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.