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Finding the Fourth Proportional to 490.09, 734.14 and 229.73

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Solution

The fourth proportional to 490.09, 734.14 and 229.73 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.09 : 734.14 = 229.73 : x
  2. Step 2: Convert to fraction form
    490.09/734.14 = 229.73/x
  3. Step 3: Cross multiply
    490.09x = 734.14 × 229.73
  4. Step 4: Simplify right side
    490.09x = 168,649.74
  5. Step 5: Solve for x
    x = 168,649.74/490.09
  6. Step 6: Final answer
    x = 344.12

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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.