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Finding the Fourth Proportional to 808.06, 1,211.36 and 321

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Solution

The fourth proportional to 808.06, 1,211.36 and 321 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.06 : 1,211.36 = 321 : x
  2. Step 2: Convert to fraction form
    808.06/1,211.36 = 321/x
  3. Step 3: Cross multiply
    808.06x = 1,211.36 × 321
  4. Step 4: Simplify right side
    808.06x = 388,846.56
  5. Step 5: Solve for x
    x = 388,846.56/808.06
  6. Step 6: Final answer
    x = 481.21

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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.