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Finding the Fourth Proportional to 490.77, 735.67 and 198.19

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Solution

The fourth proportional to 490.77, 735.67 and 198.19 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 735.67 = 198.19 : x
  2. Step 2: Convert to fraction form
    490.77/735.67 = 198.19/x
  3. Step 3: Cross multiply
    490.77x = 735.67 × 198.19
  4. Step 4: Simplify right side
    490.77x = 145,802.44
  5. Step 5: Solve for x
    x = 145,802.44/490.77
  6. Step 6: Final answer
    x = 297.09

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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.