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Finding the Fourth Proportional to 386.94, 580.73 and 201.96

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Solution

The fourth proportional to 386.94, 580.73 and 201.96 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 580.73 = 201.96 : x
  2. Step 2: Convert to fraction form
    386.94/580.73 = 201.96/x
  3. Step 3: Cross multiply
    386.94x = 580.73 × 201.96
  4. Step 4: Simplify right side
    386.94x = 117,283.22
  5. Step 5: Solve for x
    x = 117,283.22/386.94
  6. Step 6: Final answer
    x = 303.10

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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.