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Finding the Fourth Proportional to 404.01, 608.74 and 365.54

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Solution

The fourth proportional to 404.01, 608.74 and 365.54 is: 550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.01 : 608.74 = 365.54 : x
  2. Step 2: Convert to fraction form
    404.01/608.74 = 365.54/x
  3. Step 3: Cross multiply
    404.01x = 608.74 × 365.54
  4. Step 4: Simplify right side
    404.01x = 222,514.86
  5. Step 5: Solve for x
    x = 222,514.86/404.01
  6. Step 6: Final answer
    x = 550.77

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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.