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Finding the Fourth Proportional to 195.57, 269.62 and 140.21

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Solution

The fourth proportional to 195.57, 269.62 and 140.21 is: 193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 269.62 = 140.21 : x
  2. Step 2: Convert to fraction form
    195.57/269.62 = 140.21/x
  3. Step 3: Cross multiply
    195.57x = 269.62 × 140.21
  4. Step 4: Simplify right side
    195.57x = 37,802.72
  5. Step 5: Solve for x
    x = 37,802.72/195.57
  6. Step 6: Final answer
    x = 193.30

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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.