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Finding the Fourth Proportional to 533.42, 799.86 and 208.70

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Solution

The fourth proportional to 533.42, 799.86 and 208.70 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 799.86 = 208.70 : x
  2. Step 2: Convert to fraction form
    533.42/799.86 = 208.70/x
  3. Step 3: Cross multiply
    533.42x = 799.86 × 208.70
  4. Step 4: Simplify right side
    533.42x = 166,930.78
  5. Step 5: Solve for x
    x = 166,930.78/533.42
  6. Step 6: Final answer
    x = 312.94

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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.