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Finding the Fourth Proportional to 142.81, 195.79 and 140.21

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Solution

The fourth proportional to 142.81, 195.79 and 140.21 is: 192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.81 : 195.79 = 140.21 : x
  2. Step 2: Convert to fraction form
    142.81/195.79 = 140.21/x
  3. Step 3: Cross multiply
    142.81x = 195.79 × 140.21
  4. Step 4: Simplify right side
    142.81x = 27,451.72
  5. Step 5: Solve for x
    x = 27,451.72/142.81
  6. Step 6: Final answer
    x = 192.23

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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.