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Finding the Fourth Proportional to 191.26, 285.38 and 171.78

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Solution

The fourth proportional to 191.26, 285.38 and 171.78 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.26 : 285.38 = 171.78 : x
  2. Step 2: Convert to fraction form
    191.26/285.38 = 171.78/x
  3. Step 3: Cross multiply
    191.26x = 285.38 × 171.78
  4. Step 4: Simplify right side
    191.26x = 49,022.58
  5. Step 5: Solve for x
    x = 49,022.58/191.26
  6. Step 6: Final answer
    x = 256.31

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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.