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Finding the Fourth Proportional to 490.56, 734.85 and 259.17

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Solution

The fourth proportional to 490.56, 734.85 and 259.17 is: 388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 734.85 = 259.17 : x
  2. Step 2: Convert to fraction form
    490.56/734.85 = 259.17/x
  3. Step 3: Cross multiply
    490.56x = 734.85 × 259.17
  4. Step 4: Simplify right side
    490.56x = 190,451.07
  5. Step 5: Solve for x
    x = 190,451.07/490.56
  6. Step 6: Final answer
    x = 388.23

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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.