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Finding the Fourth Proportional to 404.25, 557.70 and 249.09

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Solution

The fourth proportional to 404.25, 557.70 and 249.09 is: 343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.25 : 557.70 = 249.09 : x
  2. Step 2: Convert to fraction form
    404.25/557.70 = 249.09/x
  3. Step 3: Cross multiply
    404.25x = 557.70 × 249.09
  4. Step 4: Simplify right side
    404.25x = 138,917.49
  5. Step 5: Solve for x
    x = 138,917.49/404.25
  6. Step 6: Final answer
    x = 343.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.