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Finding the Fourth Proportional to 258.43, 386.96 and 136.09

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Solution

The fourth proportional to 258.43, 386.96 and 136.09 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.43 : 386.96 = 136.09 : x
  2. Step 2: Convert to fraction form
    258.43/386.96 = 136.09/x
  3. Step 3: Cross multiply
    258.43x = 386.96 × 136.09
  4. Step 4: Simplify right side
    258.43x = 52,661.39
  5. Step 5: Solve for x
    x = 52,661.39/258.43
  6. Step 6: Final answer
    x = 203.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.