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Finding the Fourth Proportional to 533.88, 736.20 and 399

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Solution

The fourth proportional to 533.88, 736.20 and 399 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 736.20 = 399 : x
  2. Step 2: Convert to fraction form
    533.88/736.20 = 399/x
  3. Step 3: Cross multiply
    533.88x = 736.20 × 399
  4. Step 4: Simplify right side
    533.88x = 293,743.80
  5. Step 5: Solve for x
    x = 293,743.80/533.88
  6. Step 6: Final answer
    x = 550.21

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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.