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Finding the Fourth Proportional to 136.08, 203.04 and 122.44

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Solution

The fourth proportional to 136.08, 203.04 and 122.44 is: 182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.08 : 203.04 = 122.44 : x
  2. Step 2: Convert to fraction form
    136.08/203.04 = 122.44/x
  3. Step 3: Cross multiply
    136.08x = 203.04 × 122.44
  4. Step 4: Simplify right side
    136.08x = 24,860.22
  5. Step 5: Solve for x
    x = 24,860.22/136.08
  6. Step 6: Final answer
    x = 182.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.