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Finding the Fourth Proportional to 380.44, 570.96 and 197.92

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Solution

The fourth proportional to 380.44, 570.96 and 197.92 is: 297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.44 : 570.96 = 197.92 : x
  2. Step 2: Convert to fraction form
    380.44/570.96 = 197.92/x
  3. Step 3: Cross multiply
    380.44x = 570.96 × 197.92
  4. Step 4: Simplify right side
    380.44x = 113,004.40
  5. Step 5: Solve for x
    x = 113,004.40/380.44
  6. Step 6: Final answer
    x = 297.04

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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.