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Finding the Fourth Proportional to 343.32, 515.28 and 198.84

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Solution

The fourth proportional to 343.32, 515.28 and 198.84 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.32 : 515.28 = 198.84 : x
  2. Step 2: Convert to fraction form
    343.32/515.28 = 198.84/x
  3. Step 3: Cross multiply
    343.32x = 515.28 × 198.84
  4. Step 4: Simplify right side
    343.32x = 102,458.28
  5. Step 5: Solve for x
    x = 102,458.28/343.32
  6. Step 6: Final answer
    x = 298.43

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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.