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Finding the Fourth Proportional to 343.28, 515.70 and 206.43

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Solution

The fourth proportional to 343.28, 515.70 and 206.43 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 515.70 = 206.43 : x
  2. Step 2: Convert to fraction form
    343.28/515.70 = 206.43/x
  3. Step 3: Cross multiply
    343.28x = 515.70 × 206.43
  4. Step 4: Simplify right side
    343.28x = 106,455.95
  5. Step 5: Solve for x
    x = 106,455.95/343.28
  6. Step 6: Final answer
    x = 310.11

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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.