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Finding the Fourth Proportional to 230.67, 347.73 and 194.85

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Solution

The fourth proportional to 230.67, 347.73 and 194.85 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 347.73 = 194.85 : x
  2. Step 2: Convert to fraction form
    230.67/347.73 = 194.85/x
  3. Step 3: Cross multiply
    230.67x = 347.73 × 194.85
  4. Step 4: Simplify right side
    230.67x = 67,755.19
  5. Step 5: Solve for x
    x = 67,755.19/230.67
  6. Step 6: Final answer
    x = 293.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.