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Finding the Fourth Proportional to 201.32, 299.97 and 192.47

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Solution

The fourth proportional to 201.32, 299.97 and 192.47 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 299.97 = 192.47 : x
  2. Step 2: Convert to fraction form
    201.32/299.97 = 192.47/x
  3. Step 3: Cross multiply
    201.32x = 299.97 × 192.47
  4. Step 4: Simplify right side
    201.32x = 57,734.26
  5. Step 5: Solve for x
    x = 57,734.26/201.32
  6. Step 6: Final answer
    x = 286.78

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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.