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Finding the Fourth Proportional to 323.75, 445.68 and 290.94

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Solution

The fourth proportional to 323.75, 445.68 and 290.94 is: 400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 445.68 = 290.94 : x
  2. Step 2: Convert to fraction form
    323.75/445.68 = 290.94/x
  3. Step 3: Cross multiply
    323.75x = 445.68 × 290.94
  4. Step 4: Simplify right side
    323.75x = 129,666.14
  5. Step 5: Solve for x
    x = 129,666.14/323.75
  6. Step 6: Final answer
    x = 400.52

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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.