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Finding the Fourth Proportional to 323.01, 445.86 and 190.26

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Solution

The fourth proportional to 323.01, 445.86 and 190.26 is: 262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.01 : 445.86 = 190.26 : x
  2. Step 2: Convert to fraction form
    323.01/445.86 = 190.26/x
  3. Step 3: Cross multiply
    323.01x = 445.86 × 190.26
  4. Step 4: Simplify right side
    323.01x = 84,829.32
  5. Step 5: Solve for x
    x = 84,829.32/323.01
  6. Step 6: Final answer
    x = 262.62

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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.