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Finding the Fourth Proportional to 345.27, 516.69 and 208.29

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Solution

The fourth proportional to 345.27, 516.69 and 208.29 is: 311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 516.69 = 208.29 : x
  2. Step 2: Convert to fraction form
    345.27/516.69 = 208.29/x
  3. Step 3: Cross multiply
    345.27x = 516.69 × 208.29
  4. Step 4: Simplify right side
    345.27x = 107,621.36
  5. Step 5: Solve for x
    x = 107,621.36/345.27
  6. Step 6: Final answer
    x = 311.70

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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.