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Finding the Fourth Proportional to 490.62, 735.39 and 308.10

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Solution

The fourth proportional to 490.62, 735.39 and 308.10 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 735.39 = 308.10 : x
  2. Step 2: Convert to fraction form
    490.62/735.39 = 308.10/x
  3. Step 3: Cross multiply
    490.62x = 735.39 × 308.10
  4. Step 4: Simplify right side
    490.62x = 226,573.66
  5. Step 5: Solve for x
    x = 226,573.66/490.62
  6. Step 6: Final answer
    x = 461.81

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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.