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Finding the Fourth Proportional to 259.22, 352.94 and 258.41

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Solution

The fourth proportional to 259.22, 352.94 and 258.41 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 352.94 = 258.41 : x
  2. Step 2: Convert to fraction form
    259.22/352.94 = 258.41/x
  3. Step 3: Cross multiply
    259.22x = 352.94 × 258.41
  4. Step 4: Simplify right side
    259.22x = 91,202.82
  5. Step 5: Solve for x
    x = 91,202.82/259.22
  6. Step 6: Final answer
    x = 351.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.