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Finding the Fourth Proportional to 533.02, 799.46 and 208.61

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Solution

The fourth proportional to 533.02, 799.46 and 208.61 is: 312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.02 : 799.46 = 208.61 : x
  2. Step 2: Convert to fraction form
    533.02/799.46 = 208.61/x
  3. Step 3: Cross multiply
    533.02x = 799.46 × 208.61
  4. Step 4: Simplify right side
    533.02x = 166,774.31
  5. Step 5: Solve for x
    x = 166,774.31/533.02
  6. Step 6: Final answer
    x = 312.89

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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.