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Finding the Fourth Proportional to 258.39, 354.62 and 254.43

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Solution

The fourth proportional to 258.39, 354.62 and 254.43 is: 349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.39 : 354.62 = 254.43 : x
  2. Step 2: Convert to fraction form
    258.39/354.62 = 254.43/x
  3. Step 3: Cross multiply
    258.39x = 354.62 × 254.43
  4. Step 4: Simplify right side
    258.39x = 90,226.60
  5. Step 5: Solve for x
    x = 90,226.60/258.39
  6. Step 6: Final answer
    x = 349.19

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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.