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Finding the Fourth Proportional to 490.59, 675.95 and 350.46

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Solution

The fourth proportional to 490.59, 675.95 and 350.46 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.59 : 675.95 = 350.46 : x
  2. Step 2: Convert to fraction form
    490.59/675.95 = 350.46/x
  3. Step 3: Cross multiply
    490.59x = 675.95 × 350.46
  4. Step 4: Simplify right side
    490.59x = 236,891.68
  5. Step 5: Solve for x
    x = 236,891.68/490.59
  6. Step 6: Final answer
    x = 482.87

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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.