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Finding the Fourth Proportional to 136.49, 188.42 and 119.03

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Solution

The fourth proportional to 136.49, 188.42 and 119.03 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.49 : 188.42 = 119.03 : x
  2. Step 2: Convert to fraction form
    136.49/188.42 = 119.03/x
  3. Step 3: Cross multiply
    136.49x = 188.42 × 119.03
  4. Step 4: Simplify right side
    136.49x = 22,426.10
  5. Step 5: Solve for x
    x = 22,426.10/136.49
  6. Step 6: Final answer
    x = 164.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.