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Finding the Fourth Proportional to 627.28, 940.15 and 280.22

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Solution

The fourth proportional to 627.28, 940.15 and 280.22 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.28 : 940.15 = 280.22 : x
  2. Step 2: Convert to fraction form
    627.28/940.15 = 280.22/x
  3. Step 3: Cross multiply
    627.28x = 940.15 × 280.22
  4. Step 4: Simplify right side
    627.28x = 263,448.83
  5. Step 5: Solve for x
    x = 263,448.83/627.28
  6. Step 6: Final answer
    x = 419.99

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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.