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Finding the Fourth Proportional to 323.03, 446.24 and 257.45

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Solution

The fourth proportional to 323.03, 446.24 and 257.45 is: 355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.03 : 446.24 = 257.45 : x
  2. Step 2: Convert to fraction form
    323.03/446.24 = 257.45/x
  3. Step 3: Cross multiply
    323.03x = 446.24 × 257.45
  4. Step 4: Simplify right side
    323.03x = 114,884.49
  5. Step 5: Solve for x
    x = 114,884.49/323.03
  6. Step 6: Final answer
    x = 355.65

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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.