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Finding the Fourth Proportional to 195.96, 292.04 and 194.34

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Solution

The fourth proportional to 195.96, 292.04 and 194.34 is: 289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 292.04 = 194.34 : x
  2. Step 2: Convert to fraction form
    195.96/292.04 = 194.34/x
  3. Step 3: Cross multiply
    195.96x = 292.04 × 194.34
  4. Step 4: Simplify right side
    195.96x = 56,755.05
  5. Step 5: Solve for x
    x = 56,755.05/195.96
  6. Step 6: Final answer
    x = 289.63

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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.