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Finding the Fourth Proportional to 191.93, 286.42 and 171.43

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Solution

The fourth proportional to 191.93, 286.42 and 171.43 is: 255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.93 : 286.42 = 171.43 : x
  2. Step 2: Convert to fraction form
    191.93/286.42 = 171.43/x
  3. Step 3: Cross multiply
    191.93x = 286.42 × 171.43
  4. Step 4: Simplify right side
    191.93x = 49,100.64
  5. Step 5: Solve for x
    x = 49,100.64/191.93
  6. Step 6: Final answer
    x = 255.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.