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Finding the Fourth Proportional to 382.09, 572.86 and 197.05

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Solution

The fourth proportional to 382.09, 572.86 and 197.05 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 572.86 = 197.05 : x
  2. Step 2: Convert to fraction form
    382.09/572.86 = 197.05/x
  3. Step 3: Cross multiply
    382.09x = 572.86 × 197.05
  4. Step 4: Simplify right side
    382.09x = 112,882.06
  5. Step 5: Solve for x
    x = 112,882.06/382.09
  6. Step 6: Final answer
    x = 295.43

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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.