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Finding the Fourth Proportional to 484.28, 667.68 and 309.32

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Solution

The fourth proportional to 484.28, 667.68 and 309.32 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.28 : 667.68 = 309.32 : x
  2. Step 2: Convert to fraction form
    484.28/667.68 = 309.32/x
  3. Step 3: Cross multiply
    484.28x = 667.68 × 309.32
  4. Step 4: Simplify right side
    484.28x = 206,526.78
  5. Step 5: Solve for x
    x = 206,526.78/484.28
  6. Step 6: Final answer
    x = 426.46

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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.