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Finding the Fourth Proportional to 201.92, 302 and 180.40

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Solution

The fourth proportional to 201.92, 302 and 180.40 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 302 = 180.40 : x
  2. Step 2: Convert to fraction form
    201.92/302 = 180.40/x
  3. Step 3: Cross multiply
    201.92x = 302 × 180.40
  4. Step 4: Simplify right side
    201.92x = 54,480.80
  5. Step 5: Solve for x
    x = 54,480.80/201.92
  6. Step 6: Final answer
    x = 269.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.