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Finding the Fourth Proportional to 490.26, 734.88 and 259.01

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Solution

The fourth proportional to 490.26, 734.88 and 259.01 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 734.88 = 259.01 : x
  2. Step 2: Convert to fraction form
    490.26/734.88 = 259.01/x
  3. Step 3: Cross multiply
    490.26x = 734.88 × 259.01
  4. Step 4: Simplify right side
    490.26x = 190,337.59
  5. Step 5: Solve for x
    x = 190,337.59/490.26
  6. Step 6: Final answer
    x = 388.24

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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.