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Finding the Fourth Proportional to 150.78, 226.09 and 82.14

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Solution

The fourth proportional to 150.78, 226.09 and 82.14 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 226.09 = 82.14 : x
  2. Step 2: Convert to fraction form
    150.78/226.09 = 82.14/x
  3. Step 3: Cross multiply
    150.78x = 226.09 × 82.14
  4. Step 4: Simplify right side
    150.78x = 18,571.03
  5. Step 5: Solve for x
    x = 18,571.03/150.78
  6. Step 6: Final answer
    x = 123.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.