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Finding the Fourth Proportional to 195.46, 292.97 and 79.78

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Solution

The fourth proportional to 195.46, 292.97 and 79.78 is: 119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.46 : 292.97 = 79.78 : x
  2. Step 2: Convert to fraction form
    195.46/292.97 = 79.78/x
  3. Step 3: Cross multiply
    195.46x = 292.97 × 79.78
  4. Step 4: Simplify right side
    195.46x = 23,371.47
  5. Step 5: Solve for x
    x = 23,371.47/195.46
  6. Step 6: Final answer
    x = 119.57

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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.