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Finding the Fourth Proportional to 490.42, 733.78 and 353.17

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Solution

The fourth proportional to 490.42, 733.78 and 353.17 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 733.78 = 353.17 : x
  2. Step 2: Convert to fraction form
    490.42/733.78 = 353.17/x
  3. Step 3: Cross multiply
    490.42x = 733.78 × 353.17
  4. Step 4: Simplify right side
    490.42x = 259,147.82
  5. Step 5: Solve for x
    x = 259,147.82/490.42
  6. Step 6: Final answer
    x = 528.42

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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.