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Finding the Fourth Proportional to 627.44, 940.86 and 194.56

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Solution

The fourth proportional to 627.44, 940.86 and 194.56 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.44 : 940.86 = 194.56 : x
  2. Step 2: Convert to fraction form
    627.44/940.86 = 194.56/x
  3. Step 3: Cross multiply
    627.44x = 940.86 × 194.56
  4. Step 4: Simplify right side
    627.44x = 183,053.72
  5. Step 5: Solve for x
    x = 183,053.72/627.44
  6. Step 6: Final answer
    x = 291.75

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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.