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Finding the Fourth Proportional to 138.08, 189.10 and 136.28

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Solution

The fourth proportional to 138.08, 189.10 and 136.28 is: 186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.08 : 189.10 = 136.28 : x
  2. Step 2: Convert to fraction form
    138.08/189.10 = 136.28/x
  3. Step 3: Cross multiply
    138.08x = 189.10 × 136.28
  4. Step 4: Simplify right side
    138.08x = 25,770.55
  5. Step 5: Solve for x
    x = 25,770.55/138.08
  6. Step 6: Final answer
    x = 186.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.