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Finding the Fourth Proportional to 258.92, 357.32 and 142.48

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Solution

The fourth proportional to 258.92, 357.32 and 142.48 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 357.32 = 142.48 : x
  2. Step 2: Convert to fraction form
    258.92/357.32 = 142.48/x
  3. Step 3: Cross multiply
    258.92x = 357.32 × 142.48
  4. Step 4: Simplify right side
    258.92x = 50,910.95
  5. Step 5: Solve for x
    x = 50,910.95/258.92
  6. Step 6: Final answer
    x = 196.63

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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.