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Finding the Fourth Proportional to 533.84, 800.30 and 259.78

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Solution

The fourth proportional to 533.84, 800.30 and 259.78 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 800.30 = 259.78 : x
  2. Step 2: Convert to fraction form
    533.84/800.30 = 259.78/x
  3. Step 3: Cross multiply
    533.84x = 800.30 × 259.78
  4. Step 4: Simplify right side
    533.84x = 207,901.93
  5. Step 5: Solve for x
    x = 207,901.93/533.84
  6. Step 6: Final answer
    x = 389.45

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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.