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Finding the Fourth Proportional to 490.38, 734.96 and 216.20

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Solution

The fourth proportional to 490.38, 734.96 and 216.20 is: 324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 734.96 = 216.20 : x
  2. Step 2: Convert to fraction form
    490.38/734.96 = 216.20/x
  3. Step 3: Cross multiply
    490.38x = 734.96 × 216.20
  4. Step 4: Simplify right side
    490.38x = 158,893.60
  5. Step 5: Solve for x
    x = 158,893.60/490.38
  6. Step 6: Final answer
    x = 324.02

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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.