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Finding the Fourth Proportional to 258.25, 356.38 and 140.22

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Solution

The fourth proportional to 258.25, 356.38 and 140.22 is: 193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.25 : 356.38 = 140.22 : x
  2. Step 2: Convert to fraction form
    258.25/356.38 = 140.22/x
  3. Step 3: Cross multiply
    258.25x = 356.38 × 140.22
  4. Step 4: Simplify right side
    258.25x = 49,973.60
  5. Step 5: Solve for x
    x = 49,973.60/258.25
  6. Step 6: Final answer
    x = 193.51

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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.