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Finding the Fourth Proportional to 231.62, 345.79 and 191.12

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Solution

The fourth proportional to 231.62, 345.79 and 191.12 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.62 : 345.79 = 191.12 : x
  2. Step 2: Convert to fraction form
    231.62/345.79 = 191.12/x
  3. Step 3: Cross multiply
    231.62x = 345.79 × 191.12
  4. Step 4: Simplify right side
    231.62x = 66,087.38
  5. Step 5: Solve for x
    x = 66,087.38/231.62
  6. Step 6: Final answer
    x = 285.33

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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.