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Finding the Fourth Proportional to 323.16, 445.38 and 283.74

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Solution

The fourth proportional to 323.16, 445.38 and 283.74 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 445.38 = 283.74 : x
  2. Step 2: Convert to fraction form
    323.16/445.38 = 283.74/x
  3. Step 3: Cross multiply
    323.16x = 445.38 × 283.74
  4. Step 4: Simplify right side
    323.16x = 126,372.12
  5. Step 5: Solve for x
    x = 126,372.12/323.16
  6. Step 6: Final answer
    x = 391.05

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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.