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Finding the Fourth Proportional to 138.69, 206.59 and 131.67

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Solution

The fourth proportional to 138.69, 206.59 and 131.67 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.69 : 206.59 = 131.67 : x
  2. Step 2: Convert to fraction form
    138.69/206.59 = 131.67/x
  3. Step 3: Cross multiply
    138.69x = 206.59 × 131.67
  4. Step 4: Simplify right side
    138.69x = 27,201.56
  5. Step 5: Solve for x
    x = 27,201.56/138.69
  6. Step 6: Final answer
    x = 196.13

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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.