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Finding the Fourth Proportional to 150.98, 225.57 and 133.43

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Solution

The fourth proportional to 150.98, 225.57 and 133.43 is: 199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.98 : 225.57 = 133.43 : x
  2. Step 2: Convert to fraction form
    150.98/225.57 = 133.43/x
  3. Step 3: Cross multiply
    150.98x = 225.57 × 133.43
  4. Step 4: Simplify right side
    150.98x = 30,096.68
  5. Step 5: Solve for x
    x = 30,096.68/150.98
  6. Step 6: Final answer
    x = 199.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.