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Finding the Fourth Proportional to 343.17, 514.71 and 198.90

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Solution

The fourth proportional to 343.17, 514.71 and 198.90 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.17 : 514.71 = 198.90 : x
  2. Step 2: Convert to fraction form
    343.17/514.71 = 198.90/x
  3. Step 3: Cross multiply
    343.17x = 514.71 × 198.90
  4. Step 4: Simplify right side
    343.17x = 102,375.82
  5. Step 5: Solve for x
    x = 102,375.82/343.17
  6. Step 6: Final answer
    x = 298.32

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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.