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Finding the Fourth Proportional to 191.73, 286.97 and 151.23

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Solution

The fourth proportional to 191.73, 286.97 and 151.23 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.73 : 286.97 = 151.23 : x
  2. Step 2: Convert to fraction form
    191.73/286.97 = 151.23/x
  3. Step 3: Cross multiply
    191.73x = 286.97 × 151.23
  4. Step 4: Simplify right side
    191.73x = 43,398.47
  5. Step 5: Solve for x
    x = 43,398.47/191.73
  6. Step 6: Final answer
    x = 226.35

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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.