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Finding the Fourth Proportional to 201.36, 300.75 and 166.80

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Solution

The fourth proportional to 201.36, 300.75 and 166.80 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 300.75 = 166.80 : x
  2. Step 2: Convert to fraction form
    201.36/300.75 = 166.80/x
  3. Step 3: Cross multiply
    201.36x = 300.75 × 166.80
  4. Step 4: Simplify right side
    201.36x = 50,165.10
  5. Step 5: Solve for x
    x = 50,165.10/201.36
  6. Step 6: Final answer
    x = 249.13

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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.