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Finding the Fourth Proportional to 490.20, 730.98 and 422.16

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Solution

The fourth proportional to 490.20, 730.98 and 422.16 is: 629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 730.98 = 422.16 : x
  2. Step 2: Convert to fraction form
    490.20/730.98 = 422.16/x
  3. Step 3: Cross multiply
    490.20x = 730.98 × 422.16
  4. Step 4: Simplify right side
    490.20x = 308,591.29
  5. Step 5: Solve for x
    x = 308,591.29/490.20
  6. Step 6: Final answer
    x = 629.52

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Find fourth proportional to 245.10, 365.49 and 211.08
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.