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Finding the Fourth Proportional to 627.76, 941.90 and 243.28

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Solution

The fourth proportional to 627.76, 941.90 and 243.28 is: 365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 941.90 = 243.28 : x
  2. Step 2: Convert to fraction form
    627.76/941.90 = 243.28/x
  3. Step 3: Cross multiply
    627.76x = 941.90 × 243.28
  4. Step 4: Simplify right side
    627.76x = 229,145.43
  5. Step 5: Solve for x
    x = 229,145.43/627.76
  6. Step 6: Final answer
    x = 365.02

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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.