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Finding the Fourth Proportional to 270.23, 371.97 and 235.06

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Solution

The fourth proportional to 270.23, 371.97 and 235.06 is: 323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.23 : 371.97 = 235.06 : x
  2. Step 2: Convert to fraction form
    270.23/371.97 = 235.06/x
  3. Step 3: Cross multiply
    270.23x = 371.97 × 235.06
  4. Step 4: Simplify right side
    270.23x = 87,435.27
  5. Step 5: Solve for x
    x = 87,435.27/270.23
  6. Step 6: Final answer
    x = 323.56

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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.