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Finding the Fourth Proportional to 143.09, 198.30 and 140.36

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Solution

The fourth proportional to 143.09, 198.30 and 140.36 is: 194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.09 : 198.30 = 140.36 : x
  2. Step 2: Convert to fraction form
    143.09/198.30 = 140.36/x
  3. Step 3: Cross multiply
    143.09x = 198.30 × 140.36
  4. Step 4: Simplify right side
    143.09x = 27,833.88
  5. Step 5: Solve for x
    x = 27,833.88/143.09
  6. Step 6: Final answer
    x = 194.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.