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Finding the Fourth Proportional to 135.38, 186.90 and 120.80

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Solution

The fourth proportional to 135.38, 186.90 and 120.80 is: 166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 186.90 = 120.80 : x
  2. Step 2: Convert to fraction form
    135.38/186.90 = 120.80/x
  3. Step 3: Cross multiply
    135.38x = 186.90 × 120.80
  4. Step 4: Simplify right side
    135.38x = 22,577.52
  5. Step 5: Solve for x
    x = 22,577.52/135.38
  6. Step 6: Final answer
    x = 166.77

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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.