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Finding the Fourth Proportional to 153.96, 231.14 and 133.71

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Solution

The fourth proportional to 153.96, 231.14 and 133.71 is: 200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 231.14 = 133.71 : x
  2. Step 2: Convert to fraction form
    153.96/231.14 = 133.71/x
  3. Step 3: Cross multiply
    153.96x = 231.14 × 133.71
  4. Step 4: Simplify right side
    153.96x = 30,905.73
  5. Step 5: Solve for x
    x = 30,905.73/153.96
  6. Step 6: Final answer
    x = 200.74

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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.