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Finding the Fourth Proportional to 490.40, 735.08 and 197.90

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Solution

The fourth proportional to 490.40, 735.08 and 197.90 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.40 : 735.08 = 197.90 : x
  2. Step 2: Convert to fraction form
    490.40/735.08 = 197.90/x
  3. Step 3: Cross multiply
    490.40x = 735.08 × 197.90
  4. Step 4: Simplify right side
    490.40x = 145,469.15
  5. Step 5: Solve for x
    x = 145,469.15/490.40
  6. Step 6: Final answer
    x = 296.64

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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.