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Finding the Fourth Proportional to 144.45, 217.74 and 136.09

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Solution

The fourth proportional to 144.45, 217.74 and 136.09 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.45 : 217.74 = 136.09 : x
  2. Step 2: Convert to fraction form
    144.45/217.74 = 136.09/x
  3. Step 3: Cross multiply
    144.45x = 217.74 × 136.09
  4. Step 4: Simplify right side
    144.45x = 29,630.47
  5. Step 5: Solve for x
    x = 29,630.47/144.45
  6. Step 6: Final answer
    x = 205.13

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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.