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Finding the Fourth Proportional to 533.25, 735.96 and 323.55

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Solution

The fourth proportional to 533.25, 735.96 and 323.55 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 735.96 = 323.55 : x
  2. Step 2: Convert to fraction form
    533.25/735.96 = 323.55/x
  3. Step 3: Cross multiply
    533.25x = 735.96 × 323.55
  4. Step 4: Simplify right side
    533.25x = 238,119.86
  5. Step 5: Solve for x
    x = 238,119.86/533.25
  6. Step 6: Final answer
    x = 446.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.