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Finding the Fourth Proportional to 490.20, 734.36 and 273.12

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Solution

The fourth proportional to 490.20, 734.36 and 273.12 is: 409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 734.36 = 273.12 : x
  2. Step 2: Convert to fraction form
    490.20/734.36 = 273.12/x
  3. Step 3: Cross multiply
    490.20x = 734.36 × 273.12
  4. Step 4: Simplify right side
    490.20x = 200,567.04
  5. Step 5: Solve for x
    x = 200,567.04/490.20
  6. Step 6: Final answer
    x = 409.15

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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.