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Finding the Fourth Proportional to 379.21, 569 and 206.03

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Solution

The fourth proportional to 379.21, 569 and 206.03 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.21 : 569 = 206.03 : x
  2. Step 2: Convert to fraction form
    379.21/569 = 206.03/x
  3. Step 3: Cross multiply
    379.21x = 569 × 206.03
  4. Step 4: Simplify right side
    379.21x = 117,231.07
  5. Step 5: Solve for x
    x = 117,231.07/379.21
  6. Step 6: Final answer
    x = 309.15

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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.