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Finding the Fourth Proportional to 143.73, 197.16 and 140.13

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Solution

The fourth proportional to 143.73, 197.16 and 140.13 is: 192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.73 : 197.16 = 140.13 : x
  2. Step 2: Convert to fraction form
    143.73/197.16 = 140.13/x
  3. Step 3: Cross multiply
    143.73x = 197.16 × 140.13
  4. Step 4: Simplify right side
    143.73x = 27,628.03
  5. Step 5: Solve for x
    x = 27,628.03/143.73
  6. Step 6: Final answer
    x = 192.22

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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.