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Finding the Fourth Proportional to 232.10, 347.93 and 116.44

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Solution

The fourth proportional to 232.10, 347.93 and 116.44 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 347.93 = 116.44 : x
  2. Step 2: Convert to fraction form
    232.10/347.93 = 116.44/x
  3. Step 3: Cross multiply
    232.10x = 347.93 × 116.44
  4. Step 4: Simplify right side
    232.10x = 40,511.95
  5. Step 5: Solve for x
    x = 40,511.95/232.10
  6. Step 6: Final answer
    x = 174.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.