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Finding the Fourth Proportional to 197.34, 297.30 and 180.43

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Solution

The fourth proportional to 197.34, 297.30 and 180.43 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 297.30 = 180.43 : x
  2. Step 2: Convert to fraction form
    197.34/297.30 = 180.43/x
  3. Step 3: Cross multiply
    197.34x = 297.30 × 180.43
  4. Step 4: Simplify right side
    197.34x = 53,640.25
  5. Step 5: Solve for x
    x = 53,640.25/197.34
  6. Step 6: Final answer
    x = 271.81

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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.