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Finding the Fourth Proportional to 232.83, 347.21 and 206.61

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Solution

The fourth proportional to 232.83, 347.21 and 206.61 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 347.21 = 206.61 : x
  2. Step 2: Convert to fraction form
    232.83/347.21 = 206.61/x
  3. Step 3: Cross multiply
    232.83x = 347.21 × 206.61
  4. Step 4: Simplify right side
    232.83x = 71,736.66
  5. Step 5: Solve for x
    x = 71,736.66/232.83
  6. Step 6: Final answer
    x = 308.11

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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.