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Finding the Fourth Proportional to 343.19, 513.99 and 221.09

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Solution

The fourth proportional to 343.19, 513.99 and 221.09 is: 331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 513.99 = 221.09 : x
  2. Step 2: Convert to fraction form
    343.19/513.99 = 221.09/x
  3. Step 3: Cross multiply
    343.19x = 513.99 × 221.09
  4. Step 4: Simplify right side
    343.19x = 113,638.05
  5. Step 5: Solve for x
    x = 113,638.05/343.19
  6. Step 6: Final answer
    x = 331.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.