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Finding the Fourth Proportional to 490.13, 734.96 and 216.10

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Solution

The fourth proportional to 490.13, 734.96 and 216.10 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.13 : 734.96 = 216.10 : x
  2. Step 2: Convert to fraction form
    490.13/734.96 = 216.10/x
  3. Step 3: Cross multiply
    490.13x = 734.96 × 216.10
  4. Step 4: Simplify right side
    490.13x = 158,825.10
  5. Step 5: Solve for x
    x = 158,825.10/490.13
  6. Step 6: Final answer
    x = 324.04

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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.