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Finding the Fourth Proportional to 533.42, 800.36 and 259.52

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Solution

The fourth proportional to 533.42, 800.36 and 259.52 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 800.36 = 259.52 : x
  2. Step 2: Convert to fraction form
    533.42/800.36 = 259.52/x
  3. Step 3: Cross multiply
    533.42x = 800.36 × 259.52
  4. Step 4: Simplify right side
    533.42x = 207,709.43
  5. Step 5: Solve for x
    x = 207,709.43/533.42
  6. Step 6: Final answer
    x = 389.39

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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.