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Finding the Fourth Proportional to 576.82, 864.68 and 206.42

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Solution

The fourth proportional to 576.82, 864.68 and 206.42 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 864.68 = 206.42 : x
  2. Step 2: Convert to fraction form
    576.82/864.68 = 206.42/x
  3. Step 3: Cross multiply
    576.82x = 864.68 × 206.42
  4. Step 4: Simplify right side
    576.82x = 178,481.89
  5. Step 5: Solve for x
    x = 178,481.89/576.82
  6. Step 6: Final answer
    x = 309.42

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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.