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Finding the Fourth Proportional to 258.44, 355.91 and 235.37

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Solution

The fourth proportional to 258.44, 355.91 and 235.37 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 355.91 = 235.37 : x
  2. Step 2: Convert to fraction form
    258.44/355.91 = 235.37/x
  3. Step 3: Cross multiply
    258.44x = 355.91 × 235.37
  4. Step 4: Simplify right side
    258.44x = 83,770.54
  5. Step 5: Solve for x
    x = 83,770.54/258.44
  6. Step 6: Final answer
    x = 324.14

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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.