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Finding the Fourth Proportional to 197.44, 272.46 and 114.51

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Solution

The fourth proportional to 197.44, 272.46 and 114.51 is: 158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.46 = 114.51 : x
  2. Step 2: Convert to fraction form
    197.44/272.46 = 114.51/x
  3. Step 3: Cross multiply
    197.44x = 272.46 × 114.51
  4. Step 4: Simplify right side
    197.44x = 31,200.85
  5. Step 5: Solve for x
    x = 31,200.85/197.44
  6. Step 6: Final answer
    x = 158.03

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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.