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Finding the Fourth Proportional to 201.72, 303.32 and 194.43

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Solution

The fourth proportional to 201.72, 303.32 and 194.43 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 303.32 = 194.43 : x
  2. Step 2: Convert to fraction form
    201.72/303.32 = 194.43/x
  3. Step 3: Cross multiply
    201.72x = 303.32 × 194.43
  4. Step 4: Simplify right side
    201.72x = 58,974.51
  5. Step 5: Solve for x
    x = 58,974.51/201.72
  6. Step 6: Final answer
    x = 292.36

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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.