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Finding the Fourth Proportional to 201.69, 277.74 and 197.64

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Solution

The fourth proportional to 201.69, 277.74 and 197.64 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 277.74 = 197.64 : x
  2. Step 2: Convert to fraction form
    201.69/277.74 = 197.64/x
  3. Step 3: Cross multiply
    201.69x = 277.74 × 197.64
  4. Step 4: Simplify right side
    201.69x = 54,892.53
  5. Step 5: Solve for x
    x = 54,892.53/201.69
  6. Step 6: Final answer
    x = 272.16

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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.