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Finding the Fourth Proportional to 343.65, 516.14 and 241.79

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Solution

The fourth proportional to 343.65, 516.14 and 241.79 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 516.14 = 241.79 : x
  2. Step 2: Convert to fraction form
    343.65/516.14 = 241.79/x
  3. Step 3: Cross multiply
    343.65x = 516.14 × 241.79
  4. Step 4: Simplify right side
    343.65x = 124,797.49
  5. Step 5: Solve for x
    x = 124,797.49/343.65
  6. Step 6: Final answer
    x = 363.15

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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.