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Finding the Fourth Proportional to 143.10, 196.74 and 142.23

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Solution

The fourth proportional to 143.10, 196.74 and 142.23 is: 195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 196.74 = 142.23 : x
  2. Step 2: Convert to fraction form
    143.10/196.74 = 142.23/x
  3. Step 3: Cross multiply
    143.10x = 196.74 × 142.23
  4. Step 4: Simplify right side
    143.10x = 27,982.33
  5. Step 5: Solve for x
    x = 27,982.33/143.10
  6. Step 6: Final answer
    x = 195.54

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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.