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Finding the Fourth Proportional to 627.31, 941.14 and 188.54

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Solution

The fourth proportional to 627.31, 941.14 and 188.54 is: 282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.31 : 941.14 = 188.54 : x
  2. Step 2: Convert to fraction form
    627.31/941.14 = 188.54/x
  3. Step 3: Cross multiply
    627.31x = 941.14 × 188.54
  4. Step 4: Simplify right side
    627.31x = 177,442.54
  5. Step 5: Solve for x
    x = 177,442.54/627.31
  6. Step 6: Final answer
    x = 282.86

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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.