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Finding the Fourth Proportional to 576.80, 865.23 and 206.67

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Solution

The fourth proportional to 576.80, 865.23 and 206.67 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 865.23 = 206.67 : x
  2. Step 2: Convert to fraction form
    576.80/865.23 = 206.67/x
  3. Step 3: Cross multiply
    576.80x = 865.23 × 206.67
  4. Step 4: Simplify right side
    576.80x = 178,817.08
  5. Step 5: Solve for x
    x = 178,817.08/576.80
  6. Step 6: Final answer
    x = 310.02

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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.