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Finding the Fourth Proportional to 138.02, 189.19 and 136.14

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Solution

The fourth proportional to 138.02, 189.19 and 136.14 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.02 : 189.19 = 136.14 : x
  2. Step 2: Convert to fraction form
    138.02/189.19 = 136.14/x
  3. Step 3: Cross multiply
    138.02x = 189.19 × 136.14
  4. Step 4: Simplify right side
    138.02x = 25,756.33
  5. Step 5: Solve for x
    x = 25,756.33/138.02
  6. Step 6: Final answer
    x = 186.61

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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.