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Finding the Fourth Proportional to 535.92, 803.72 and 206.83

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Solution

The fourth proportional to 535.92, 803.72 and 206.83 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 803.72 = 206.83 : x
  2. Step 2: Convert to fraction form
    535.92/803.72 = 206.83/x
  3. Step 3: Cross multiply
    535.92x = 803.72 × 206.83
  4. Step 4: Simplify right side
    535.92x = 166,234.93
  5. Step 5: Solve for x
    x = 166,234.93/535.92
  6. Step 6: Final answer
    x = 310.19

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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.