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Finding the Fourth Proportional to 484.26, 668.01 and 309.48

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Solution

The fourth proportional to 484.26, 668.01 and 309.48 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.26 : 668.01 = 309.48 : x
  2. Step 2: Convert to fraction form
    484.26/668.01 = 309.48/x
  3. Step 3: Cross multiply
    484.26x = 668.01 × 309.48
  4. Step 4: Simplify right side
    484.26x = 206,735.73
  5. Step 5: Solve for x
    x = 206,735.73/484.26
  6. Step 6: Final answer
    x = 426.91

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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.