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Finding the Fourth Proportional to 380.12, 569.75 and 206.69

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Solution

The fourth proportional to 380.12, 569.75 and 206.69 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 569.75 = 206.69 : x
  2. Step 2: Convert to fraction form
    380.12/569.75 = 206.69/x
  3. Step 3: Cross multiply
    380.12x = 569.75 × 206.69
  4. Step 4: Simplify right side
    380.12x = 117,757.75
  5. Step 5: Solve for x
    x = 117,757.75/380.12
  6. Step 6: Final answer
    x = 309.80

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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.