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Finding the Fourth Proportional to 230.68, 344.35 and 191.80

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Solution

The fourth proportional to 230.68, 344.35 and 191.80 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 344.35 = 191.80 : x
  2. Step 2: Convert to fraction form
    230.68/344.35 = 191.80/x
  3. Step 3: Cross multiply
    230.68x = 344.35 × 191.80
  4. Step 4: Simplify right side
    230.68x = 66,046.33
  5. Step 5: Solve for x
    x = 66,046.33/230.68
  6. Step 6: Final answer
    x = 286.31

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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.