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Finding the Fourth Proportional to 197.58, 272.75 and 181.96

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Solution

The fourth proportional to 197.58, 272.75 and 181.96 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 272.75 = 181.96 : x
  2. Step 2: Convert to fraction form
    197.58/272.75 = 181.96/x
  3. Step 3: Cross multiply
    197.58x = 272.75 × 181.96
  4. Step 4: Simplify right side
    197.58x = 49,630.04
  5. Step 5: Solve for x
    x = 49,630.04/197.58
  6. Step 6: Final answer
    x = 251.20

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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.