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Finding the Fourth Proportional to 490.25, 735.08 and 216

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Solution

The fourth proportional to 490.25, 735.08 and 216 is: 323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 735.08 = 216 : x
  2. Step 2: Convert to fraction form
    490.25/735.08 = 216/x
  3. Step 3: Cross multiply
    490.25x = 735.08 × 216
  4. Step 4: Simplify right side
    490.25x = 158,776.20
  5. Step 5: Solve for x
    x = 158,776.20/490.25
  6. Step 6: Final answer
    x = 323.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.