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Finding the Fourth Proportional to 329.91, 455.37 and 190.11

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Solution

The fourth proportional to 329.91, 455.37 and 190.11 is: 262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 455.37 = 190.11 : x
  2. Step 2: Convert to fraction form
    329.91/455.37 = 190.11/x
  3. Step 3: Cross multiply
    329.91x = 455.37 × 190.11
  4. Step 4: Simplify right side
    329.91x = 86,570.39
  5. Step 5: Solve for x
    x = 86,570.39/329.91
  6. Step 6: Final answer
    x = 262.41

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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.