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Finding the Fourth Proportional to 323.41, 446.51 and 213.07

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Solution

The fourth proportional to 323.41, 446.51 and 213.07 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.41 : 446.51 = 213.07 : x
  2. Step 2: Convert to fraction form
    323.41/446.51 = 213.07/x
  3. Step 3: Cross multiply
    323.41x = 446.51 × 213.07
  4. Step 4: Simplify right side
    323.41x = 95,137.30
  5. Step 5: Solve for x
    x = 95,137.30/323.41
  6. Step 6: Final answer
    x = 294.17

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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.