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Finding the Fourth Proportional to 404.69, 606.89 and 209.66

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Solution

The fourth proportional to 404.69, 606.89 and 209.66 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.69 : 606.89 = 209.66 : x
  2. Step 2: Convert to fraction form
    404.69/606.89 = 209.66/x
  3. Step 3: Cross multiply
    404.69x = 606.89 × 209.66
  4. Step 4: Simplify right side
    404.69x = 127,240.56
  5. Step 5: Solve for x
    x = 127,240.56/404.69
  6. Step 6: Final answer
    x = 314.42

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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.