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Finding the Fourth Proportional to 627.26, 940.80 and 165

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Solution

The fourth proportional to 627.26, 940.80 and 165 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.26 : 940.80 = 165 : x
  2. Step 2: Convert to fraction form
    627.26/940.80 = 165/x
  3. Step 3: Cross multiply
    627.26x = 940.80 × 165
  4. Step 4: Simplify right side
    627.26x = 155,232
  5. Step 5: Solve for x
    x = 155,232/627.26
  6. Step 6: Final answer
    x = 247.48

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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.