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Finding the Fourth Proportional to 136.36, 205.86 and 135.64

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Solution

The fourth proportional to 136.36, 205.86 and 135.64 is: 204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.36 : 205.86 = 135.64 : x
  2. Step 2: Convert to fraction form
    136.36/205.86 = 135.64/x
  3. Step 3: Cross multiply
    136.36x = 205.86 × 135.64
  4. Step 4: Simplify right side
    136.36x = 27,922.85
  5. Step 5: Solve for x
    x = 27,922.85/136.36
  6. Step 6: Final answer
    x = 204.77

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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.