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Finding the Fourth Proportional to 490.86, 675.54 and 350.73

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Solution

The fourth proportional to 490.86, 675.54 and 350.73 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 675.54 = 350.73 : x
  2. Step 2: Convert to fraction form
    490.86/675.54 = 350.73/x
  3. Step 3: Cross multiply
    490.86x = 675.54 × 350.73
  4. Step 4: Simplify right side
    490.86x = 236,932.14
  5. Step 5: Solve for x
    x = 236,932.14/490.86
  6. Step 6: Final answer
    x = 482.69

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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.