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Finding the Fourth Proportional to 343.42, 515.94 and 199.24

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Solution

The fourth proportional to 343.42, 515.94 and 199.24 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 515.94 = 199.24 : x
  2. Step 2: Convert to fraction form
    343.42/515.94 = 199.24/x
  3. Step 3: Cross multiply
    343.42x = 515.94 × 199.24
  4. Step 4: Simplify right side
    343.42x = 102,795.89
  5. Step 5: Solve for x
    x = 102,795.89/343.42
  6. Step 6: Final answer
    x = 299.33

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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.