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Finding the Fourth Proportional to 100.92, 139.15 and 82.44

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Solution

The fourth proportional to 100.92, 139.15 and 82.44 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 139.15 = 82.44 : x
  2. Step 2: Convert to fraction form
    100.92/139.15 = 82.44/x
  3. Step 3: Cross multiply
    100.92x = 139.15 × 82.44
  4. Step 4: Simplify right side
    100.92x = 11,471.11
  5. Step 5: Solve for x
    x = 11,471.11/100.92
  6. Step 6: Final answer
    x = 113.67

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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.