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Finding the Fourth Proportional to 143.67, 198.20 and 94.57

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Solution

The fourth proportional to 143.67, 198.20 and 94.57 is: 130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.67 : 198.20 = 94.57 : x
  2. Step 2: Convert to fraction form
    143.67/198.20 = 94.57/x
  3. Step 3: Cross multiply
    143.67x = 198.20 × 94.57
  4. Step 4: Simplify right side
    143.67x = 18,742.98
  5. Step 5: Solve for x
    x = 18,742.98/143.67
  6. Step 6: Final answer
    x = 130.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.