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Finding the Fourth Proportional to 197.34, 271.71 and 167.78

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Solution

The fourth proportional to 197.34, 271.71 and 167.78 is: 231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 271.71 = 167.78 : x
  2. Step 2: Convert to fraction form
    197.34/271.71 = 167.78/x
  3. Step 3: Cross multiply
    197.34x = 271.71 × 167.78
  4. Step 4: Simplify right side
    197.34x = 45,586.15
  5. Step 5: Solve for x
    x = 45,586.15/197.34
  6. Step 6: Final answer
    x = 231.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.