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Finding the Fourth Proportional to 197.51, 270.90 and 188.06

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Solution

The fourth proportional to 197.51, 270.90 and 188.06 is: 257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 270.90 = 188.06 : x
  2. Step 2: Convert to fraction form
    197.51/270.90 = 188.06/x
  3. Step 3: Cross multiply
    197.51x = 270.90 × 188.06
  4. Step 4: Simplify right side
    197.51x = 50,944.10
  5. Step 5: Solve for x
    x = 50,944.10/197.51
  6. Step 6: Final answer
    x = 257.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.