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Finding the Fourth Proportional to 404.33, 605.92 and 198.67

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Solution

The fourth proportional to 404.33, 605.92 and 198.67 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.33 : 605.92 = 198.67 : x
  2. Step 2: Convert to fraction form
    404.33/605.92 = 198.67/x
  3. Step 3: Cross multiply
    404.33x = 605.92 × 198.67
  4. Step 4: Simplify right side
    404.33x = 120,376.11
  5. Step 5: Solve for x
    x = 120,376.11/404.33
  6. Step 6: Final answer
    x = 297.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.