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Finding the Fourth Proportional to 150.19, 226.27 and 136.31

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Solution

The fourth proportional to 150.19, 226.27 and 136.31 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 226.27 = 136.31 : x
  2. Step 2: Convert to fraction form
    150.19/226.27 = 136.31/x
  3. Step 3: Cross multiply
    150.19x = 226.27 × 136.31
  4. Step 4: Simplify right side
    150.19x = 30,841.90
  5. Step 5: Solve for x
    x = 30,841.90/150.19
  6. Step 6: Final answer
    x = 205.36

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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.