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Finding the Fourth Proportional to 201.93, 300.64 and 199.05

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Solution

The fourth proportional to 201.93, 300.64 and 199.05 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 300.64 = 199.05 : x
  2. Step 2: Convert to fraction form
    201.93/300.64 = 199.05/x
  3. Step 3: Cross multiply
    201.93x = 300.64 × 199.05
  4. Step 4: Simplify right side
    201.93x = 59,843.00
  5. Step 5: Solve for x
    x = 59,843.00/201.93
  6. Step 6: Final answer
    x = 296.36

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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.