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Finding the Fourth Proportional to 323.19, 446.36 and 302.84

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Solution

The fourth proportional to 323.19, 446.36 and 302.84 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 446.36 = 302.84 : x
  2. Step 2: Convert to fraction form
    323.19/446.36 = 302.84/x
  3. Step 3: Cross multiply
    323.19x = 446.36 × 302.84
  4. Step 4: Simplify right side
    323.19x = 135,175.29
  5. Step 5: Solve for x
    x = 135,175.29/323.19
  6. Step 6: Final answer
    x = 418.25

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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.