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Finding the Fourth Proportional to 379.05, 567.57 and 196.50

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Solution

The fourth proportional to 379.05, 567.57 and 196.50 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.05 : 567.57 = 196.50 : x
  2. Step 2: Convert to fraction form
    379.05/567.57 = 196.50/x
  3. Step 3: Cross multiply
    379.05x = 567.57 × 196.50
  4. Step 4: Simplify right side
    379.05x = 111,527.51
  5. Step 5: Solve for x
    x = 111,527.51/379.05
  6. Step 6: Final answer
    x = 294.23

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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.