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Finding the Fourth Proportional to 535.65, 803.32 and 206.56

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Solution

The fourth proportional to 535.65, 803.32 and 206.56 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.65 : 803.32 = 206.56 : x
  2. Step 2: Convert to fraction form
    535.65/803.32 = 206.56/x
  3. Step 3: Cross multiply
    535.65x = 803.32 × 206.56
  4. Step 4: Simplify right side
    535.65x = 165,933.78
  5. Step 5: Solve for x
    x = 165,933.78/535.65
  6. Step 6: Final answer
    x = 309.78

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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.