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Finding the Fourth Proportional to 323.24, 445.65 and 290.84

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Solution

The fourth proportional to 323.24, 445.65 and 290.84 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 445.65 = 290.84 : x
  2. Step 2: Convert to fraction form
    323.24/445.65 = 290.84/x
  3. Step 3: Cross multiply
    323.24x = 445.65 × 290.84
  4. Step 4: Simplify right side
    323.24x = 129,612.85
  5. Step 5: Solve for x
    x = 129,612.85/323.24
  6. Step 6: Final answer
    x = 400.98

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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.