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Finding the Fourth Proportional to 201.67, 300.13 and 201.06

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Solution

The fourth proportional to 201.67, 300.13 and 201.06 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 300.13 = 201.06 : x
  2. Step 2: Convert to fraction form
    201.67/300.13 = 201.06/x
  3. Step 3: Cross multiply
    201.67x = 300.13 × 201.06
  4. Step 4: Simplify right side
    201.67x = 60,344.14
  5. Step 5: Solve for x
    x = 60,344.14/201.67
  6. Step 6: Final answer
    x = 299.22

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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.