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Finding the Fourth Proportional to 201.09, 300.36 and 160.39

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Solution

The fourth proportional to 201.09, 300.36 and 160.39 is: 239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 300.36 = 160.39 : x
  2. Step 2: Convert to fraction form
    201.09/300.36 = 160.39/x
  3. Step 3: Cross multiply
    201.09x = 300.36 × 160.39
  4. Step 4: Simplify right side
    201.09x = 48,172.44
  5. Step 5: Solve for x
    x = 48,172.44/201.09
  6. Step 6: Final answer
    x = 239.56

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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.