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Finding the Fourth Proportional to 533.12, 799.84 and 208.64

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Solution

The fourth proportional to 533.12, 799.84 and 208.64 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 799.84 = 208.64 : x
  2. Step 2: Convert to fraction form
    533.12/799.84 = 208.64/x
  3. Step 3: Cross multiply
    533.12x = 799.84 × 208.64
  4. Step 4: Simplify right side
    533.12x = 166,878.62
  5. Step 5: Solve for x
    x = 166,878.62/533.12
  6. Step 6: Final answer
    x = 313.02

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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.