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Finding the Fourth Proportional to 533.31, 799.85 and 168.13

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Solution

The fourth proportional to 533.31, 799.85 and 168.13 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.31 : 799.85 = 168.13 : x
  2. Step 2: Convert to fraction form
    533.31/799.85 = 168.13/x
  3. Step 3: Cross multiply
    533.31x = 799.85 × 168.13
  4. Step 4: Simplify right side
    533.31x = 134,475.23
  5. Step 5: Solve for x
    x = 134,475.23/533.31
  6. Step 6: Final answer
    x = 252.15

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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.