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Finding the Fourth Proportional to 150.57, 225.96 and 82.05

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Solution

The fourth proportional to 150.57, 225.96 and 82.05 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 225.96 = 82.05 : x
  2. Step 2: Convert to fraction form
    150.57/225.96 = 82.05/x
  3. Step 3: Cross multiply
    150.57x = 225.96 × 82.05
  4. Step 4: Simplify right side
    150.57x = 18,540.02
  5. Step 5: Solve for x
    x = 18,540.02/150.57
  6. Step 6: Final answer
    x = 123.13

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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.