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Finding the Fourth Proportional to 201.88, 300.92 and 199.45

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Solution

The fourth proportional to 201.88, 300.92 and 199.45 is: 297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 300.92 = 199.45 : x
  2. Step 2: Convert to fraction form
    201.88/300.92 = 199.45/x
  3. Step 3: Cross multiply
    201.88x = 300.92 × 199.45
  4. Step 4: Simplify right side
    201.88x = 60,018.49
  5. Step 5: Solve for x
    x = 60,018.49/201.88
  6. Step 6: Final answer
    x = 297.30

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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.