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Finding the Fourth Proportional to 138, 206.24 and 110.82

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Solution

The fourth proportional to 138, 206.24 and 110.82 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 206.24 = 110.82 : x
  2. Step 2: Convert to fraction form
    138/206.24 = 110.82/x
  3. Step 3: Cross multiply
    138x = 206.24 × 110.82
  4. Step 4: Simplify right side
    138x = 22,854.96
  5. Step 5: Solve for x
    x = 22,854.96/138
  6. Step 6: Final answer
    x = 165.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.