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Finding the Fourth Proportional to 379.00, 567.82 and 205.56

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Solution

The fourth proportional to 379.00, 567.82 and 205.56 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.00 : 567.82 = 205.56 : x
  2. Step 2: Convert to fraction form
    379.00/567.82 = 205.56/x
  3. Step 3: Cross multiply
    379.00x = 567.82 × 205.56
  4. Step 4: Simplify right side
    379.00x = 116,719.14
  5. Step 5: Solve for x
    x = 116,719.14/379.00
  6. Step 6: Final answer
    x = 307.97

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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.