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Finding the Fourth Proportional to 197.57, 272.40 and 123.86

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Solution

The fourth proportional to 197.57, 272.40 and 123.86 is: 170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 272.40 = 123.86 : x
  2. Step 2: Convert to fraction form
    197.57/272.40 = 123.86/x
  3. Step 3: Cross multiply
    197.57x = 272.40 × 123.86
  4. Step 4: Simplify right side
    197.57x = 33,739.46
  5. Step 5: Solve for x
    x = 33,739.46/197.57
  6. Step 6: Final answer
    x = 170.77

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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.