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Finding the Fourth Proportional to 627.97, 942.10 and 217.10

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Solution

The fourth proportional to 627.97, 942.10 and 217.10 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.97 : 942.10 = 217.10 : x
  2. Step 2: Convert to fraction form
    627.97/942.10 = 217.10/x
  3. Step 3: Cross multiply
    627.97x = 942.10 × 217.10
  4. Step 4: Simplify right side
    627.97x = 204,529.91
  5. Step 5: Solve for x
    x = 204,529.91/627.97
  6. Step 6: Final answer
    x = 325.70

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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.