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Finding the Fourth Proportional to 627.83, 941.78 and 194.97

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Solution

The fourth proportional to 627.83, 941.78 and 194.97 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.83 : 941.78 = 194.97 : x
  2. Step 2: Convert to fraction form
    627.83/941.78 = 194.97/x
  3. Step 3: Cross multiply
    627.83x = 941.78 × 194.97
  4. Step 4: Simplify right side
    627.83x = 183,617.87
  5. Step 5: Solve for x
    x = 183,617.87/627.83
  6. Step 6: Final answer
    x = 292.47

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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.