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Finding the Fourth Proportional to 533.75, 800.84 and 209.09

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Solution

The fourth proportional to 533.75, 800.84 and 209.09 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 800.84 = 209.09 : x
  2. Step 2: Convert to fraction form
    533.75/800.84 = 209.09/x
  3. Step 3: Cross multiply
    533.75x = 800.84 × 209.09
  4. Step 4: Simplify right side
    533.75x = 167,447.64
  5. Step 5: Solve for x
    x = 167,447.64/533.75
  6. Step 6: Final answer
    x = 313.72

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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.