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Finding the Fourth Proportional to 255.21, 382.29 and 197.22

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Solution

The fourth proportional to 255.21, 382.29 and 197.22 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.21 : 382.29 = 197.22 : x
  2. Step 2: Convert to fraction form
    255.21/382.29 = 197.22/x
  3. Step 3: Cross multiply
    255.21x = 382.29 × 197.22
  4. Step 4: Simplify right side
    255.21x = 75,395.23
  5. Step 5: Solve for x
    x = 75,395.23/255.21
  6. Step 6: Final answer
    x = 295.42

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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.