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Finding the Fourth Proportional to 197.75, 295.71 and 148.43

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Solution

The fourth proportional to 197.75, 295.71 and 148.43 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 295.71 = 148.43 : x
  2. Step 2: Convert to fraction form
    197.75/295.71 = 148.43/x
  3. Step 3: Cross multiply
    197.75x = 295.71 × 148.43
  4. Step 4: Simplify right side
    197.75x = 43,892.24
  5. Step 5: Solve for x
    x = 43,892.24/197.75
  6. Step 6: Final answer
    x = 221.96

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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.