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Finding the Fourth Proportional to 232.88, 347.69 and 198.05

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Solution

The fourth proportional to 232.88, 347.69 and 198.05 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 347.69 = 198.05 : x
  2. Step 2: Convert to fraction form
    232.88/347.69 = 198.05/x
  3. Step 3: Cross multiply
    232.88x = 347.69 × 198.05
  4. Step 4: Simplify right side
    232.88x = 68,858.76
  5. Step 5: Solve for x
    x = 68,858.76/232.88
  6. Step 6: Final answer
    x = 295.69

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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.