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Finding the Fourth Proportional to 798.21, 1,197.34 and 221.09

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Solution

The fourth proportional to 798.21, 1,197.34 and 221.09 is: 331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.21 : 1,197.34 = 221.09 : x
  2. Step 2: Convert to fraction form
    798.21/1,197.34 = 221.09/x
  3. Step 3: Cross multiply
    798.21x = 1,197.34 × 221.09
  4. Step 4: Simplify right side
    798.21x = 264,719.90
  5. Step 5: Solve for x
    x = 264,719.90/798.21
  6. Step 6: Final answer
    x = 331.64

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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.