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Finding the Fourth Proportional to 197.84, 297.92 and 146.84

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Solution

The fourth proportional to 197.84, 297.92 and 146.84 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 297.92 = 146.84 : x
  2. Step 2: Convert to fraction form
    197.84/297.92 = 146.84/x
  3. Step 3: Cross multiply
    197.84x = 297.92 × 146.84
  4. Step 4: Simplify right side
    197.84x = 43,745.84
  5. Step 5: Solve for x
    x = 43,745.84/197.84
  6. Step 6: Final answer
    x = 221.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.