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Finding the Fourth Proportional to 412.78, 619.18 and 196.38

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Solution

The fourth proportional to 412.78, 619.18 and 196.38 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 619.18 = 196.38 : x
  2. Step 2: Convert to fraction form
    412.78/619.18 = 196.38/x
  3. Step 3: Cross multiply
    412.78x = 619.18 × 196.38
  4. Step 4: Simplify right side
    412.78x = 121,594.57
  5. Step 5: Solve for x
    x = 121,594.57/412.78
  6. Step 6: Final answer
    x = 294.57

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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.