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Finding the Fourth Proportional to 533.69, 799.98 and 225.73

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Solution

The fourth proportional to 533.69, 799.98 and 225.73 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 799.98 = 225.73 : x
  2. Step 2: Convert to fraction form
    533.69/799.98 = 225.73/x
  3. Step 3: Cross multiply
    533.69x = 799.98 × 225.73
  4. Step 4: Simplify right side
    533.69x = 180,579.49
  5. Step 5: Solve for x
    x = 180,579.49/533.69
  6. Step 6: Final answer
    x = 338.36

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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.