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Finding the Fourth Proportional to 258.49, 353.60 and 254.48

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Solution

The fourth proportional to 258.49, 353.60 and 254.48 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.49 : 353.60 = 254.48 : x
  2. Step 2: Convert to fraction form
    258.49/353.60 = 254.48/x
  3. Step 3: Cross multiply
    258.49x = 353.60 × 254.48
  4. Step 4: Simplify right side
    258.49x = 89,982.04
  5. Step 5: Solve for x
    x = 89,982.04/258.49
  6. Step 6: Final answer
    x = 348.10

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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.