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Finding the Fourth Proportional to 490.25, 735.56 and 259.13

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Solution

The fourth proportional to 490.25, 735.56 and 259.13 is: 388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 735.56 = 259.13 : x
  2. Step 2: Convert to fraction form
    490.25/735.56 = 259.13/x
  3. Step 3: Cross multiply
    490.25x = 735.56 × 259.13
  4. Step 4: Simplify right side
    490.25x = 190,605.66
  5. Step 5: Solve for x
    x = 190,605.66/490.25
  6. Step 6: Final answer
    x = 388.79

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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.