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Finding the Fourth Proportional to 343.95, 516.38 and 190.42

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Solution

The fourth proportional to 343.95, 516.38 and 190.42 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 516.38 = 190.42 : x
  2. Step 2: Convert to fraction form
    343.95/516.38 = 190.42/x
  3. Step 3: Cross multiply
    343.95x = 516.38 × 190.42
  4. Step 4: Simplify right side
    343.95x = 98,329.08
  5. Step 5: Solve for x
    x = 98,329.08/343.95
  6. Step 6: Final answer
    x = 285.88

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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.