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Finding the Fourth Proportional to 490, 734.46 and 273.46

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Solution

The fourth proportional to 490, 734.46 and 273.46 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 734.46 = 273.46 : x
  2. Step 2: Convert to fraction form
    490/734.46 = 273.46/x
  3. Step 3: Cross multiply
    490x = 734.46 × 273.46
  4. Step 4: Simplify right side
    490x = 200,845.43
  5. Step 5: Solve for x
    x = 200,845.43/490
  6. Step 6: Final answer
    x = 409.89

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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.