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Finding the Fourth Proportional to 533.18, 800.11 and 225.05

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Solution

The fourth proportional to 533.18, 800.11 and 225.05 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.18 : 800.11 = 225.05 : x
  2. Step 2: Convert to fraction form
    533.18/800.11 = 225.05/x
  3. Step 3: Cross multiply
    533.18x = 800.11 × 225.05
  4. Step 4: Simplify right side
    533.18x = 180,061.04
  5. Step 5: Solve for x
    x = 180,061.04/533.18
  6. Step 6: Final answer
    x = 337.71

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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.