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Finding the Fourth Proportional to 136.22, 186.71 and 134.39

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Solution

The fourth proportional to 136.22, 186.71 and 134.39 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 186.71 = 134.39 : x
  2. Step 2: Convert to fraction form
    136.22/186.71 = 134.39/x
  3. Step 3: Cross multiply
    136.22x = 186.71 × 134.39
  4. Step 4: Simplify right side
    136.22x = 25,091.75
  5. Step 5: Solve for x
    x = 25,091.75/136.22
  6. Step 6: Final answer
    x = 184.21

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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.