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Finding the Fourth Proportional to 490.22, 735.62 and 216.34

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Solution

The fourth proportional to 490.22, 735.62 and 216.34 is: 324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 735.62 = 216.34 : x
  2. Step 2: Convert to fraction form
    490.22/735.62 = 216.34/x
  3. Step 3: Cross multiply
    490.22x = 735.62 × 216.34
  4. Step 4: Simplify right side
    490.22x = 159,141.11
  5. Step 5: Solve for x
    x = 159,141.11/490.22
  6. Step 6: Final answer
    x = 324.63

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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.