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Finding the Fourth Proportional to 113.38, 170.22 and 94.42

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Solution

The fourth proportional to 113.38, 170.22 and 94.42 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 170.22 = 94.42 : x
  2. Step 2: Convert to fraction form
    113.38/170.22 = 94.42/x
  3. Step 3: Cross multiply
    113.38x = 170.22 × 94.42
  4. Step 4: Simplify right side
    113.38x = 16,072.17
  5. Step 5: Solve for x
    x = 16,072.17/113.38
  6. Step 6: Final answer
    x = 141.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.