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Finding the Fourth Proportional to 406.69, 609.78 and 198.04

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Solution

The fourth proportional to 406.69, 609.78 and 198.04 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 609.78 = 198.04 : x
  2. Step 2: Convert to fraction form
    406.69/609.78 = 198.04/x
  3. Step 3: Cross multiply
    406.69x = 609.78 × 198.04
  4. Step 4: Simplify right side
    406.69x = 120,757.04
  5. Step 5: Solve for x
    x = 120,757.04/406.69
  6. Step 6: Final answer
    x = 296.93

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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.