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Finding the Fourth Proportional to 197.37, 272.23 and 155.86

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Solution

The fourth proportional to 197.37, 272.23 and 155.86 is: 214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 272.23 = 155.86 : x
  2. Step 2: Convert to fraction form
    197.37/272.23 = 155.86/x
  3. Step 3: Cross multiply
    197.37x = 272.23 × 155.86
  4. Step 4: Simplify right side
    197.37x = 42,428.70
  5. Step 5: Solve for x
    x = 42,428.70/197.37
  6. Step 6: Final answer
    x = 214.97

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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.