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Finding the Fourth Proportional to 201.45, 303.79 and 198.72

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Solution

The fourth proportional to 201.45, 303.79 and 198.72 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 303.79 = 198.72 : x
  2. Step 2: Convert to fraction form
    201.45/303.79 = 198.72/x
  3. Step 3: Cross multiply
    201.45x = 303.79 × 198.72
  4. Step 4: Simplify right side
    201.45x = 60,369.01
  5. Step 5: Solve for x
    x = 60,369.01/201.45
  6. Step 6: Final answer
    x = 299.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.