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Finding the Fourth Proportional to 323.39, 445.89 and 264.16

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Solution

The fourth proportional to 323.39, 445.89 and 264.16 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.39 : 445.89 = 264.16 : x
  2. Step 2: Convert to fraction form
    323.39/445.89 = 264.16/x
  3. Step 3: Cross multiply
    323.39x = 445.89 × 264.16
  4. Step 4: Simplify right side
    323.39x = 117,785.19
  5. Step 5: Solve for x
    x = 117,785.19/323.39
  6. Step 6: Final answer
    x = 364.22

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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.