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Finding the Fourth Proportional to 490.91, 735.82 and 247.37

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Solution

The fourth proportional to 490.91, 735.82 and 247.37 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.91 : 735.82 = 247.37 : x
  2. Step 2: Convert to fraction form
    490.91/735.82 = 247.37/x
  3. Step 3: Cross multiply
    490.91x = 735.82 × 247.37
  4. Step 4: Simplify right side
    490.91x = 182,015.50
  5. Step 5: Solve for x
    x = 182,015.50/490.91
  6. Step 6: Final answer
    x = 370.78

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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.