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Finding the Fourth Proportional to 243.69, 367.20 and 201.30

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Solution

The fourth proportional to 243.69, 367.20 and 201.30 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.69 : 367.20 = 201.30 : x
  2. Step 2: Convert to fraction form
    243.69/367.20 = 201.30/x
  3. Step 3: Cross multiply
    243.69x = 367.20 × 201.30
  4. Step 4: Simplify right side
    243.69x = 73,917.36
  5. Step 5: Solve for x
    x = 73,917.36/243.69
  6. Step 6: Final answer
    x = 303.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.