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Finding the Fourth Proportional to 138.11, 207.01 and 69.56

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Solution

The fourth proportional to 138.11, 207.01 and 69.56 is: 104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.11 : 207.01 = 69.56 : x
  2. Step 2: Convert to fraction form
    138.11/207.01 = 69.56/x
  3. Step 3: Cross multiply
    138.11x = 207.01 × 69.56
  4. Step 4: Simplify right side
    138.11x = 14,399.05
  5. Step 5: Solve for x
    x = 14,399.05/138.11
  6. Step 6: Final answer
    x = 104.26

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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.