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Finding the Fourth Proportional to 481.75, 664.59 and 306.98

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Solution

The fourth proportional to 481.75, 664.59 and 306.98 is: 423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 664.59 = 306.98 : x
  2. Step 2: Convert to fraction form
    481.75/664.59 = 306.98/x
  3. Step 3: Cross multiply
    481.75x = 664.59 × 306.98
  4. Step 4: Simplify right side
    481.75x = 204,015.84
  5. Step 5: Solve for x
    x = 204,015.84/481.75
  6. Step 6: Final answer
    x = 423.49

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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.