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Finding the Fourth Proportional to 201.24, 300.41 and 192.38

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Solution

The fourth proportional to 201.24, 300.41 and 192.38 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 300.41 = 192.38 : x
  2. Step 2: Convert to fraction form
    201.24/300.41 = 192.38/x
  3. Step 3: Cross multiply
    201.24x = 300.41 × 192.38
  4. Step 4: Simplify right side
    201.24x = 57,790.41
  5. Step 5: Solve for x
    x = 57,790.41/201.24
  6. Step 6: Final answer
    x = 287.17

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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.