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Finding the Fourth Proportional to 232.82, 321.13 and 159.01

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Solution

The fourth proportional to 232.82, 321.13 and 159.01 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 321.13 = 159.01 : x
  2. Step 2: Convert to fraction form
    232.82/321.13 = 159.01/x
  3. Step 3: Cross multiply
    232.82x = 321.13 × 159.01
  4. Step 4: Simplify right side
    232.82x = 51,062.88
  5. Step 5: Solve for x
    x = 51,062.88/232.82
  6. Step 6: Final answer
    x = 219.32

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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.