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Finding the Fourth Proportional to 516.08, 711.09 and 350.01

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Solution

The fourth proportional to 516.08, 711.09 and 350.01 is: 482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 711.09 = 350.01 : x
  2. Step 2: Convert to fraction form
    516.08/711.09 = 350.01/x
  3. Step 3: Cross multiply
    516.08x = 711.09 × 350.01
  4. Step 4: Simplify right side
    516.08x = 248,888.61
  5. Step 5: Solve for x
    x = 248,888.61/516.08
  6. Step 6: Final answer
    x = 482.27

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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.