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Finding the Fourth Proportional to 343.30, 515.13 and 206.62

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Solution

The fourth proportional to 343.30, 515.13 and 206.62 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.30 : 515.13 = 206.62 : x
  2. Step 2: Convert to fraction form
    343.30/515.13 = 206.62/x
  3. Step 3: Cross multiply
    343.30x = 515.13 × 206.62
  4. Step 4: Simplify right side
    343.30x = 106,436.16
  5. Step 5: Solve for x
    x = 106,436.16/343.30
  6. Step 6: Final answer
    x = 310.04

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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.