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Finding the Fourth Proportional to 483.81, 667.94 and 309.25

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Solution

The fourth proportional to 483.81, 667.94 and 309.25 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.81 : 667.94 = 309.25 : x
  2. Step 2: Convert to fraction form
    483.81/667.94 = 309.25/x
  3. Step 3: Cross multiply
    483.81x = 667.94 × 309.25
  4. Step 4: Simplify right side
    483.81x = 206,560.45
  5. Step 5: Solve for x
    x = 206,560.45/483.81
  6. Step 6: Final answer
    x = 426.95

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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.