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Finding the Fourth Proportional to 197.21, 271.40 and 165.75

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Solution

The fourth proportional to 197.21, 271.40 and 165.75 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.21 : 271.40 = 165.75 : x
  2. Step 2: Convert to fraction form
    197.21/271.40 = 165.75/x
  3. Step 3: Cross multiply
    197.21x = 271.40 × 165.75
  4. Step 4: Simplify right side
    197.21x = 44,983.72
  5. Step 5: Solve for x
    x = 44,983.72/197.21
  6. Step 6: Final answer
    x = 228.11

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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.