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Finding the Fourth Proportional to 232.50, 346.65 and 218.73

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Solution

The fourth proportional to 232.50, 346.65 and 218.73 is: 326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 346.65 = 218.73 : x
  2. Step 2: Convert to fraction form
    232.50/346.65 = 218.73/x
  3. Step 3: Cross multiply
    232.50x = 346.65 × 218.73
  4. Step 4: Simplify right side
    232.50x = 75,822.75
  5. Step 5: Solve for x
    x = 75,822.75/232.50
  6. Step 6: Final answer
    x = 326.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.