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Finding the Fourth Proportional to 323.05, 446.78 and 278.83

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Solution

The fourth proportional to 323.05, 446.78 and 278.83 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.05 : 446.78 = 278.83 : x
  2. Step 2: Convert to fraction form
    323.05/446.78 = 278.83/x
  3. Step 3: Cross multiply
    323.05x = 446.78 × 278.83
  4. Step 4: Simplify right side
    323.05x = 124,575.67
  5. Step 5: Solve for x
    x = 124,575.67/323.05
  6. Step 6: Final answer
    x = 385.63

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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.