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Finding the Fourth Proportional to 389.67, 584.10 and 206.67

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Solution

The fourth proportional to 389.67, 584.10 and 206.67 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.67 : 584.10 = 206.67 : x
  2. Step 2: Convert to fraction form
    389.67/584.10 = 206.67/x
  3. Step 3: Cross multiply
    389.67x = 584.10 × 206.67
  4. Step 4: Simplify right side
    389.67x = 120,715.95
  5. Step 5: Solve for x
    x = 120,715.95/389.67
  6. Step 6: Final answer
    x = 309.79

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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.