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Finding the Fourth Proportional to 201.39, 277.78 and 118.46

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Solution

The fourth proportional to 201.39, 277.78 and 118.46 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.39 : 277.78 = 118.46 : x
  2. Step 2: Convert to fraction form
    201.39/277.78 = 118.46/x
  3. Step 3: Cross multiply
    201.39x = 277.78 × 118.46
  4. Step 4: Simplify right side
    201.39x = 32,906.44
  5. Step 5: Solve for x
    x = 32,906.44/201.39
  6. Step 6: Final answer
    x = 163.40

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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.