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Finding the Fourth Proportional to 329.89, 494.90 and 244.34

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Solution

The fourth proportional to 329.89, 494.90 and 244.34 is: 366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.89 : 494.90 = 244.34 : x
  2. Step 2: Convert to fraction form
    329.89/494.90 = 244.34/x
  3. Step 3: Cross multiply
    329.89x = 494.90 × 244.34
  4. Step 4: Simplify right side
    329.89x = 120,923.87
  5. Step 5: Solve for x
    x = 120,923.87/329.89
  6. Step 6: Final answer
    x = 366.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.