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Finding the Fourth Proportional to 197.74, 272.60 and 127.78

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Solution

The fourth proportional to 197.74, 272.60 and 127.78 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 272.60 = 127.78 : x
  2. Step 2: Convert to fraction form
    197.74/272.60 = 127.78/x
  3. Step 3: Cross multiply
    197.74x = 272.60 × 127.78
  4. Step 4: Simplify right side
    197.74x = 34,832.83
  5. Step 5: Solve for x
    x = 34,832.83/197.74
  6. Step 6: Final answer
    x = 176.15

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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.