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Finding the Fourth Proportional to 197.78, 272.77 and 148.77

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Solution

The fourth proportional to 197.78, 272.77 and 148.77 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 272.77 = 148.77 : x
  2. Step 2: Convert to fraction form
    197.78/272.77 = 148.77/x
  3. Step 3: Cross multiply
    197.78x = 272.77 × 148.77
  4. Step 4: Simplify right side
    197.78x = 40,579.62
  5. Step 5: Solve for x
    x = 40,579.62/197.78
  6. Step 6: Final answer
    x = 205.18

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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.