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Finding the Fourth Proportional to 194.25, 289.87 and 168.33

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Solution

The fourth proportional to 194.25, 289.87 and 168.33 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 289.87 = 168.33 : x
  2. Step 2: Convert to fraction form
    194.25/289.87 = 168.33/x
  3. Step 3: Cross multiply
    194.25x = 289.87 × 168.33
  4. Step 4: Simplify right side
    194.25x = 48,793.40
  5. Step 5: Solve for x
    x = 48,793.40/194.25
  6. Step 6: Final answer
    x = 251.19

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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.