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Finding the Fourth Proportional to 131.92, 182.11 and 100.84

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Solution

The fourth proportional to 131.92, 182.11 and 100.84 is: 139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 182.11 = 100.84 : x
  2. Step 2: Convert to fraction form
    131.92/182.11 = 100.84/x
  3. Step 3: Cross multiply
    131.92x = 182.11 × 100.84
  4. Step 4: Simplify right side
    131.92x = 18,363.97
  5. Step 5: Solve for x
    x = 18,363.97/131.92
  6. Step 6: Final answer
    x = 139.21

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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.