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Finding the Fourth Proportional to 143.70, 196.95 and 142.08

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Solution

The fourth proportional to 143.70, 196.95 and 142.08 is: 194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 196.95 = 142.08 : x
  2. Step 2: Convert to fraction form
    143.70/196.95 = 142.08/x
  3. Step 3: Cross multiply
    143.70x = 196.95 × 142.08
  4. Step 4: Simplify right side
    143.70x = 27,982.66
  5. Step 5: Solve for x
    x = 27,982.66/143.70
  6. Step 6: Final answer
    x = 194.73

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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.