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Finding the Fourth Proportional to 404.39, 609.45 and 365.44

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Solution

The fourth proportional to 404.39, 609.45 and 365.44 is: 550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.39 : 609.45 = 365.44 : x
  2. Step 2: Convert to fraction form
    404.39/609.45 = 365.44/x
  3. Step 3: Cross multiply
    404.39x = 609.45 × 365.44
  4. Step 4: Simplify right side
    404.39x = 222,714.97
  5. Step 5: Solve for x
    x = 222,714.97/404.39
  6. Step 6: Final answer
    x = 550.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.