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Finding the Fourth Proportional to 197.75, 272.75 and 156.27

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Solution

The fourth proportional to 197.75, 272.75 and 156.27 is: 215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 272.75 = 156.27 : x
  2. Step 2: Convert to fraction form
    197.75/272.75 = 156.27/x
  3. Step 3: Cross multiply
    197.75x = 272.75 × 156.27
  4. Step 4: Simplify right side
    197.75x = 42,621.86
  5. Step 5: Solve for x
    x = 42,621.86/197.75
  6. Step 6: Final answer
    x = 215.54

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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.