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Finding the Fourth Proportional to 533.91, 800.99 and 209.28

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Solution

The fourth proportional to 533.91, 800.99 and 209.28 is: 313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.91 : 800.99 = 209.28 : x
  2. Step 2: Convert to fraction form
    533.91/800.99 = 209.28/x
  3. Step 3: Cross multiply
    533.91x = 800.99 × 209.28
  4. Step 4: Simplify right side
    533.91x = 167,631.19
  5. Step 5: Solve for x
    x = 167,631.19/533.91
  6. Step 6: Final answer
    x = 313.97

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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.