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Finding the Fourth Proportional to 533.21, 799.93 and 225.07

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Solution

The fourth proportional to 533.21, 799.93 and 225.07 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.21 : 799.93 = 225.07 : x
  2. Step 2: Convert to fraction form
    533.21/799.93 = 225.07/x
  3. Step 3: Cross multiply
    533.21x = 799.93 × 225.07
  4. Step 4: Simplify right side
    533.21x = 180,035.12
  5. Step 5: Solve for x
    x = 180,035.12/533.21
  6. Step 6: Final answer
    x = 337.64

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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.