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Finding the Fourth Proportional to 232.03, 319.51 and 158.22

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Solution

The fourth proportional to 232.03, 319.51 and 158.22 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 319.51 = 158.22 : x
  2. Step 2: Convert to fraction form
    232.03/319.51 = 158.22/x
  3. Step 3: Cross multiply
    232.03x = 319.51 × 158.22
  4. Step 4: Simplify right side
    232.03x = 50,551.05
  5. Step 5: Solve for x
    x = 50,551.05/232.03
  6. Step 6: Final answer
    x = 217.87

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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.