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Finding the Fourth Proportional to 807.58, 1,211.21 and 222.43

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Solution

The fourth proportional to 807.58, 1,211.21 and 222.43 is: 333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.58 : 1,211.21 = 222.43 : x
  2. Step 2: Convert to fraction form
    807.58/1,211.21 = 222.43/x
  3. Step 3: Cross multiply
    807.58x = 1,211.21 × 222.43
  4. Step 4: Simplify right side
    807.58x = 269,406.13
  5. Step 5: Solve for x
    x = 269,406.13/807.58
  6. Step 6: Final answer
    x = 333.60

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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.