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Finding the Fourth Proportional to 533.31, 799.75 and 186.54

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Solution

The fourth proportional to 533.31, 799.75 and 186.54 is: 279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 799.75 = 186.54 : x
  2. Step 2: Convert to fraction form
    533.31/799.75 = 186.54/x
  3. Step 3: Cross multiply
    533.31x = 799.75 × 186.54
  4. Step 4: Simplify right side
    533.31x = 149,185.37
  5. Step 5: Solve for x
    x = 149,185.37/533.31
  6. Step 6: Final answer
    x = 279.73

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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.