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Finding the Fourth Proportional to 150.66, 227.21 and 133.04

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Solution

The fourth proportional to 150.66, 227.21 and 133.04 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 227.21 = 133.04 : x
  2. Step 2: Convert to fraction form
    150.66/227.21 = 133.04/x
  3. Step 3: Cross multiply
    150.66x = 227.21 × 133.04
  4. Step 4: Simplify right side
    150.66x = 30,227.92
  5. Step 5: Solve for x
    x = 30,227.92/150.66
  6. Step 6: Final answer
    x = 200.64

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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.