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Finding the Fourth Proportional to 319.06, 440.27 and 201.03

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Solution

The fourth proportional to 319.06, 440.27 and 201.03 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.06 : 440.27 = 201.03 : x
  2. Step 2: Convert to fraction form
    319.06/440.27 = 201.03/x
  3. Step 3: Cross multiply
    319.06x = 440.27 × 201.03
  4. Step 4: Simplify right side
    319.06x = 88,508.05
  5. Step 5: Solve for x
    x = 88,508.05/319.06
  6. Step 6: Final answer
    x = 277.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.