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Finding the Fourth Proportional to 138.39, 208.29 and 104.34

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Solution

The fourth proportional to 138.39, 208.29 and 104.34 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.39 : 208.29 = 104.34 : x
  2. Step 2: Convert to fraction form
    138.39/208.29 = 104.34/x
  3. Step 3: Cross multiply
    138.39x = 208.29 × 104.34
  4. Step 4: Simplify right side
    138.39x = 21,732.98
  5. Step 5: Solve for x
    x = 21,732.98/138.39
  6. Step 6: Final answer
    x = 157.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.