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Finding the Fourth Proportional to 490.94, 736.78 and 259.80

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Solution

The fourth proportional to 490.94, 736.78 and 259.80 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.94 : 736.78 = 259.80 : x
  2. Step 2: Convert to fraction form
    490.94/736.78 = 259.80/x
  3. Step 3: Cross multiply
    490.94x = 736.78 × 259.80
  4. Step 4: Simplify right side
    490.94x = 191,415.44
  5. Step 5: Solve for x
    x = 191,415.44/490.94
  6. Step 6: Final answer
    x = 389.90

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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.