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Finding the Fourth Proportional to 533.62, 800.43 and 163.42

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Solution

The fourth proportional to 533.62, 800.43 and 163.42 is: 245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 800.43 = 163.42 : x
  2. Step 2: Convert to fraction form
    533.62/800.43 = 163.42/x
  3. Step 3: Cross multiply
    533.62x = 800.43 × 163.42
  4. Step 4: Simplify right side
    533.62x = 130,806.27
  5. Step 5: Solve for x
    x = 130,806.27/533.62
  6. Step 6: Final answer
    x = 245.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.