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Finding the Fourth Proportional to 197.51, 272.92 and 188.02

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Solution

The fourth proportional to 197.51, 272.92 and 188.02 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 272.92 = 188.02 : x
  2. Step 2: Convert to fraction form
    197.51/272.92 = 188.02/x
  3. Step 3: Cross multiply
    197.51x = 272.92 × 188.02
  4. Step 4: Simplify right side
    197.51x = 51,313.27
  5. Step 5: Solve for x
    x = 51,313.27/197.51
  6. Step 6: Final answer
    x = 259.81

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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.