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Finding the Fourth Proportional to 138.39, 192.22 and 136.18

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Solution

The fourth proportional to 138.39, 192.22 and 136.18 is: 189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.39 : 192.22 = 136.18 : x
  2. Step 2: Convert to fraction form
    138.39/192.22 = 136.18/x
  3. Step 3: Cross multiply
    138.39x = 192.22 × 136.18
  4. Step 4: Simplify right side
    138.39x = 26,176.52
  5. Step 5: Solve for x
    x = 26,176.52/138.39
  6. Step 6: Final answer
    x = 189.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.