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Finding the Fourth Proportional to 404.13, 605.80 and 209.05

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Solution

The fourth proportional to 404.13, 605.80 and 209.05 is: 313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 605.80 = 209.05 : x
  2. Step 2: Convert to fraction form
    404.13/605.80 = 209.05/x
  3. Step 3: Cross multiply
    404.13x = 605.80 × 209.05
  4. Step 4: Simplify right side
    404.13x = 126,642.49
  5. Step 5: Solve for x
    x = 126,642.49/404.13
  6. Step 6: Final answer
    x = 313.37

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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.