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Finding the Fourth Proportional to 323.84, 447.84 and 294.80

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Solution

The fourth proportional to 323.84, 447.84 and 294.80 is: 407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 447.84 = 294.80 : x
  2. Step 2: Convert to fraction form
    323.84/447.84 = 294.80/x
  3. Step 3: Cross multiply
    323.84x = 447.84 × 294.80
  4. Step 4: Simplify right side
    323.84x = 132,023.23
  5. Step 5: Solve for x
    x = 132,023.23/323.84
  6. Step 6: Final answer
    x = 407.68

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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.