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Finding the Fourth Proportional to 329.96, 455.34 and 190.06

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Solution

The fourth proportional to 329.96, 455.34 and 190.06 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 455.34 = 190.06 : x
  2. Step 2: Convert to fraction form
    329.96/455.34 = 190.06/x
  3. Step 3: Cross multiply
    329.96x = 455.34 × 190.06
  4. Step 4: Simplify right side
    329.96x = 86,542.99
  5. Step 5: Solve for x
    x = 86,542.99/329.96
  6. Step 6: Final answer
    x = 262.29

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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.