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Finding the Fourth Proportional to 151.62, 226.23 and 136.23

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Solution

The fourth proportional to 151.62, 226.23 and 136.23 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.62 : 226.23 = 136.23 : x
  2. Step 2: Convert to fraction form
    151.62/226.23 = 136.23/x
  3. Step 3: Cross multiply
    151.62x = 226.23 × 136.23
  4. Step 4: Simplify right side
    151.62x = 30,819.31
  5. Step 5: Solve for x
    x = 30,819.31/151.62
  6. Step 6: Final answer
    x = 203.27

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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.