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Finding the Fourth Proportional to 136.89, 206.42 and 119.07

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Solution

The fourth proportional to 136.89, 206.42 and 119.07 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 206.42 = 119.07 : x
  2. Step 2: Convert to fraction form
    136.89/206.42 = 119.07/x
  3. Step 3: Cross multiply
    136.89x = 206.42 × 119.07
  4. Step 4: Simplify right side
    136.89x = 24,577.83
  5. Step 5: Solve for x
    x = 24,577.83/136.89
  6. Step 6: Final answer
    x = 179.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.