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Finding the Fourth Proportional to 201.75, 279.69 and 189.33

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Solution

The fourth proportional to 201.75, 279.69 and 189.33 is: 262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 279.69 = 189.33 : x
  2. Step 2: Convert to fraction form
    201.75/279.69 = 189.33/x
  3. Step 3: Cross multiply
    201.75x = 279.69 × 189.33
  4. Step 4: Simplify right side
    201.75x = 52,953.71
  5. Step 5: Solve for x
    x = 52,953.71/201.75
  6. Step 6: Final answer
    x = 262.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.