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Finding the Fourth Proportional to 201.12, 299.39 and 199.90

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Solution

The fourth proportional to 201.12, 299.39 and 199.90 is: 297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 299.39 = 199.90 : x
  2. Step 2: Convert to fraction form
    201.12/299.39 = 199.90/x
  3. Step 3: Cross multiply
    201.12x = 299.39 × 199.90
  4. Step 4: Simplify right side
    201.12x = 59,848.06
  5. Step 5: Solve for x
    x = 59,848.06/201.12
  6. Step 6: Final answer
    x = 297.57

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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.