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Finding the Fourth Proportional to 516.26, 711.54 and 350.42

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Solution

The fourth proportional to 516.26, 711.54 and 350.42 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 711.54 = 350.42 : x
  2. Step 2: Convert to fraction form
    516.26/711.54 = 350.42/x
  3. Step 3: Cross multiply
    516.26x = 711.54 × 350.42
  4. Step 4: Simplify right side
    516.26x = 249,334.29
  5. Step 5: Solve for x
    x = 249,334.29/516.26
  6. Step 6: Final answer
    x = 482.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.