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Finding the Fourth Proportional to 136, 186.95 and 119.44

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Solution

The fourth proportional to 136, 186.95 and 119.44 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 186.95 = 119.44 : x
  2. Step 2: Convert to fraction form
    136/186.95 = 119.44/x
  3. Step 3: Cross multiply
    136x = 186.95 × 119.44
  4. Step 4: Simplify right side
    136x = 22,329.31
  5. Step 5: Solve for x
    x = 22,329.31/136
  6. Step 6: Final answer
    x = 164.19

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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.