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Finding the Fourth Proportional to 232.05, 320.24 and 133.80

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Solution

The fourth proportional to 232.05, 320.24 and 133.80 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 320.24 = 133.80 : x
  2. Step 2: Convert to fraction form
    232.05/320.24 = 133.80/x
  3. Step 3: Cross multiply
    232.05x = 320.24 × 133.80
  4. Step 4: Simplify right side
    232.05x = 42,847.44
  5. Step 5: Solve for x
    x = 42,847.44/232.05
  6. Step 6: Final answer
    x = 184.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.