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Finding the Fourth Proportional to 533.42, 799.52 and 258.90

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Solution

The fourth proportional to 533.42, 799.52 and 258.90 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 799.52 = 258.90 : x
  2. Step 2: Convert to fraction form
    533.42/799.52 = 258.90/x
  3. Step 3: Cross multiply
    533.42x = 799.52 × 258.90
  4. Step 4: Simplify right side
    533.42x = 206,995.73
  5. Step 5: Solve for x
    x = 206,995.73/533.42
  6. Step 6: Final answer
    x = 388.05

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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.