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Finding the Fourth Proportional to 533.44, 800.40 and 338.56

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Solution

The fourth proportional to 533.44, 800.40 and 338.56 is: 507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 800.40 = 338.56 : x
  2. Step 2: Convert to fraction form
    533.44/800.40 = 338.56/x
  3. Step 3: Cross multiply
    533.44x = 800.40 × 338.56
  4. Step 4: Simplify right side
    533.44x = 270,983.42
  5. Step 5: Solve for x
    x = 270,983.42/533.44
  6. Step 6: Final answer
    x = 507.99

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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.