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Finding the Fourth Proportional to 807.78, 1,211.59 and 222.83

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Solution

The fourth proportional to 807.78, 1,211.59 and 222.83 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.78 : 1,211.59 = 222.83 : x
  2. Step 2: Convert to fraction form
    807.78/1,211.59 = 222.83/x
  3. Step 3: Cross multiply
    807.78x = 1,211.59 × 222.83
  4. Step 4: Simplify right side
    807.78x = 269,971.43
  5. Step 5: Solve for x
    x = 269,971.43/807.78
  6. Step 6: Final answer
    x = 334.21

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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.