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Finding the Fourth Proportional to 627.81, 941.46 and 216.82

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Solution

The fourth proportional to 627.81, 941.46 and 216.82 is: 325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.81 : 941.46 = 216.82 : x
  2. Step 2: Convert to fraction form
    627.81/941.46 = 216.82/x
  3. Step 3: Cross multiply
    627.81x = 941.46 × 216.82
  4. Step 4: Simplify right side
    627.81x = 204,127.36
  5. Step 5: Solve for x
    x = 204,127.36/627.81
  6. Step 6: Final answer
    x = 325.14

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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.