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Finding the Fourth Proportional to 533.36, 799.72 and 208.66

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Solution

The fourth proportional to 533.36, 799.72 and 208.66 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 799.72 = 208.66 : x
  2. Step 2: Convert to fraction form
    533.36/799.72 = 208.66/x
  3. Step 3: Cross multiply
    533.36x = 799.72 × 208.66
  4. Step 4: Simplify right side
    533.36x = 166,867.05
  5. Step 5: Solve for x
    x = 166,867.05/533.36
  6. Step 6: Final answer
    x = 312.86

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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.