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Finding the Fourth Proportional to 627.68, 941.57 and 195.14

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Solution

The fourth proportional to 627.68, 941.57 and 195.14 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.68 : 941.57 = 195.14 : x
  2. Step 2: Convert to fraction form
    627.68/941.57 = 195.14/x
  3. Step 3: Cross multiply
    627.68x = 941.57 × 195.14
  4. Step 4: Simplify right side
    627.68x = 183,737.97
  5. Step 5: Solve for x
    x = 183,737.97/627.68
  6. Step 6: Final answer
    x = 292.73

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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.