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Finding the Fourth Proportional to 329.57, 494.36 and 98.43

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Solution

The fourth proportional to 329.57, 494.36 and 98.43 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.57 : 494.36 = 98.43 : x
  2. Step 2: Convert to fraction form
    329.57/494.36 = 98.43/x
  3. Step 3: Cross multiply
    329.57x = 494.36 × 98.43
  4. Step 4: Simplify right side
    329.57x = 48,659.85
  5. Step 5: Solve for x
    x = 48,659.85/329.57
  6. Step 6: Final answer
    x = 147.65

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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.