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Finding the Fourth Proportional to 201.69, 301.23 and 174.33

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Solution

The fourth proportional to 201.69, 301.23 and 174.33 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 301.23 = 174.33 : x
  2. Step 2: Convert to fraction form
    201.69/301.23 = 174.33/x
  3. Step 3: Cross multiply
    201.69x = 301.23 × 174.33
  4. Step 4: Simplify right side
    201.69x = 52,513.43
  5. Step 5: Solve for x
    x = 52,513.43/201.69
  6. Step 6: Final answer
    x = 260.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.