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Finding the Fourth Proportional to 289.75, 399.92 and 196.65

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Solution

The fourth proportional to 289.75, 399.92 and 196.65 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.75 : 399.92 = 196.65 : x
  2. Step 2: Convert to fraction form
    289.75/399.92 = 196.65/x
  3. Step 3: Cross multiply
    289.75x = 399.92 × 196.65
  4. Step 4: Simplify right side
    289.75x = 78,644.76
  5. Step 5: Solve for x
    x = 78,644.76/289.75
  6. Step 6: Final answer
    x = 271.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.