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Finding the Fourth Proportional to 352.26, 485.78 and 259.32

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Solution

The fourth proportional to 352.26, 485.78 and 259.32 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 485.78 = 259.32 : x
  2. Step 2: Convert to fraction form
    352.26/485.78 = 259.32/x
  3. Step 3: Cross multiply
    352.26x = 485.78 × 259.32
  4. Step 4: Simplify right side
    352.26x = 125,972.47
  5. Step 5: Solve for x
    x = 125,972.47/352.26
  6. Step 6: Final answer
    x = 357.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.