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Finding the Fourth Proportional to 136.92, 190.21 and 135.64

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Solution

The fourth proportional to 136.92, 190.21 and 135.64 is: 188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.92 : 190.21 = 135.64 : x
  2. Step 2: Convert to fraction form
    136.92/190.21 = 135.64/x
  3. Step 3: Cross multiply
    136.92x = 190.21 × 135.64
  4. Step 4: Simplify right side
    136.92x = 25,800.08
  5. Step 5: Solve for x
    x = 25,800.08/136.92
  6. Step 6: Final answer
    x = 188.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.