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Finding the Fourth Proportional to 533.61, 800.78 and 225.46

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Solution

The fourth proportional to 533.61, 800.78 and 225.46 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.61 : 800.78 = 225.46 : x
  2. Step 2: Convert to fraction form
    533.61/800.78 = 225.46/x
  3. Step 3: Cross multiply
    533.61x = 800.78 × 225.46
  4. Step 4: Simplify right side
    533.61x = 180,543.86
  5. Step 5: Solve for x
    x = 180,543.86/533.61
  6. Step 6: Final answer
    x = 338.34

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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.