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Finding the Fourth Proportional to 533.80, 801 and 259.78

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Solution

The fourth proportional to 533.80, 801 and 259.78 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 801 = 259.78 : x
  2. Step 2: Convert to fraction form
    533.80/801 = 259.78/x
  3. Step 3: Cross multiply
    533.80x = 801 × 259.78
  4. Step 4: Simplify right side
    533.80x = 208,083.78
  5. Step 5: Solve for x
    x = 208,083.78/533.80
  6. Step 6: Final answer
    x = 389.82

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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.