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Finding the Fourth Proportional to 232.54, 321.39 and 177.28

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Solution

The fourth proportional to 232.54, 321.39 and 177.28 is: 245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 321.39 = 177.28 : x
  2. Step 2: Convert to fraction form
    232.54/321.39 = 177.28/x
  3. Step 3: Cross multiply
    232.54x = 321.39 × 177.28
  4. Step 4: Simplify right side
    232.54x = 56,976.02
  5. Step 5: Solve for x
    x = 56,976.02/232.54
  6. Step 6: Final answer
    x = 245.02

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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.