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Finding the Fourth Proportional to 138.10, 206.84 and 69.48

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Solution

The fourth proportional to 138.10, 206.84 and 69.48 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 206.84 = 69.48 : x
  2. Step 2: Convert to fraction form
    138.10/206.84 = 69.48/x
  3. Step 3: Cross multiply
    138.10x = 206.84 × 69.48
  4. Step 4: Simplify right side
    138.10x = 14,371.24
  5. Step 5: Solve for x
    x = 14,371.24/138.10
  6. Step 6: Final answer
    x = 104.06

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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.