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Finding the Fourth Proportional to 231.56, 346.96 and 195.40

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Solution

The fourth proportional to 231.56, 346.96 and 195.40 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 346.96 = 195.40 : x
  2. Step 2: Convert to fraction form
    231.56/346.96 = 195.40/x
  3. Step 3: Cross multiply
    231.56x = 346.96 × 195.40
  4. Step 4: Simplify right side
    231.56x = 67,795.98
  5. Step 5: Solve for x
    x = 67,795.98/231.56
  6. Step 6: Final answer
    x = 292.78

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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.