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Finding the Fourth Proportional to 191.53, 286.97 and 100.09

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Solution

The fourth proportional to 191.53, 286.97 and 100.09 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 286.97 = 100.09 : x
  2. Step 2: Convert to fraction form
    191.53/286.97 = 100.09/x
  3. Step 3: Cross multiply
    191.53x = 286.97 × 100.09
  4. Step 4: Simplify right side
    191.53x = 28,721.39
  5. Step 5: Solve for x
    x = 28,721.39/191.53
  6. Step 6: Final answer
    x = 149.96

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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.