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Finding the Fourth Proportional to 484.09, 667.96 and 309.36

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Solution

The fourth proportional to 484.09, 667.96 and 309.36 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.09 : 667.96 = 309.36 : x
  2. Step 2: Convert to fraction form
    484.09/667.96 = 309.36/x
  3. Step 3: Cross multiply
    484.09x = 667.96 × 309.36
  4. Step 4: Simplify right side
    484.09x = 206,640.11
  5. Step 5: Solve for x
    x = 206,640.11/484.09
  6. Step 6: Final answer
    x = 426.86

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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.