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Finding the Fourth Proportional to 258.35, 353.39 and 257.54

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Solution

The fourth proportional to 258.35, 353.39 and 257.54 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.35 : 353.39 = 257.54 : x
  2. Step 2: Convert to fraction form
    258.35/353.39 = 257.54/x
  3. Step 3: Cross multiply
    258.35x = 353.39 × 257.54
  4. Step 4: Simplify right side
    258.35x = 91,009.01
  5. Step 5: Solve for x
    x = 91,009.01/258.35
  6. Step 6: Final answer
    x = 352.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.