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Finding the Fourth Proportional to 533.26, 799.40 and 208.55

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Solution

The fourth proportional to 533.26, 799.40 and 208.55 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 799.40 = 208.55 : x
  2. Step 2: Convert to fraction form
    533.26/799.40 = 208.55/x
  3. Step 3: Cross multiply
    533.26x = 799.40 × 208.55
  4. Step 4: Simplify right side
    533.26x = 166,710.87
  5. Step 5: Solve for x
    x = 166,710.87/533.26
  6. Step 6: Final answer
    x = 312.63

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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.