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Finding the Fourth Proportional to 197.42, 271.80 and 191.21

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Solution

The fourth proportional to 197.42, 271.80 and 191.21 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 271.80 = 191.21 : x
  2. Step 2: Convert to fraction form
    197.42/271.80 = 191.21/x
  3. Step 3: Cross multiply
    197.42x = 271.80 × 191.21
  4. Step 4: Simplify right side
    197.42x = 51,969.52
  5. Step 5: Solve for x
    x = 51,969.52/197.42
  6. Step 6: Final answer
    x = 263.25

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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.