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Finding the Fourth Proportional to 323.99, 445.46 and 288.69

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Solution

The fourth proportional to 323.99, 445.46 and 288.69 is: 396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 445.46 = 288.69 : x
  2. Step 2: Convert to fraction form
    323.99/445.46 = 288.69/x
  3. Step 3: Cross multiply
    323.99x = 445.46 × 288.69
  4. Step 4: Simplify right side
    323.99x = 128,599.85
  5. Step 5: Solve for x
    x = 128,599.85/323.99
  6. Step 6: Final answer
    x = 396.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.