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Finding the Fourth Proportional to 323.76, 446.80 and 190.99

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Solution

The fourth proportional to 323.76, 446.80 and 190.99 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 446.80 = 190.99 : x
  2. Step 2: Convert to fraction form
    323.76/446.80 = 190.99/x
  3. Step 3: Cross multiply
    323.76x = 446.80 × 190.99
  4. Step 4: Simplify right side
    323.76x = 85,331.14
  5. Step 5: Solve for x
    x = 85,331.14/323.76
  6. Step 6: Final answer
    x = 263.56

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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.