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Finding the Fourth Proportional to 329.20, 492.90 and 247.75

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Solution

The fourth proportional to 329.20, 492.90 and 247.75 is: 370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 492.90 = 247.75 : x
  2. Step 2: Convert to fraction form
    329.20/492.90 = 247.75/x
  3. Step 3: Cross multiply
    329.20x = 492.90 × 247.75
  4. Step 4: Simplify right side
    329.20x = 122,115.98
  5. Step 5: Solve for x
    x = 122,115.98/329.20
  6. Step 6: Final answer
    x = 370.95

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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.