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Finding the Fourth Proportional to 150.39, 226.80 and 132.57

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Solution

The fourth proportional to 150.39, 226.80 and 132.57 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.39 : 226.80 = 132.57 : x
  2. Step 2: Convert to fraction form
    150.39/226.80 = 132.57/x
  3. Step 3: Cross multiply
    150.39x = 226.80 × 132.57
  4. Step 4: Simplify right side
    150.39x = 30,066.88
  5. Step 5: Solve for x
    x = 30,066.88/150.39
  6. Step 6: Final answer
    x = 199.93

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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.