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Finding the Fourth Proportional to 533.19, 799.78 and 204.05

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Solution

The fourth proportional to 533.19, 799.78 and 204.05 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.19 : 799.78 = 204.05 : x
  2. Step 2: Convert to fraction form
    533.19/799.78 = 204.05/x
  3. Step 3: Cross multiply
    533.19x = 799.78 × 204.05
  4. Step 4: Simplify right side
    533.19x = 163,197.55
  5. Step 5: Solve for x
    x = 163,197.55/533.19
  6. Step 6: Final answer
    x = 306.08

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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.