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Finding the Fourth Proportional to 324.83, 447.99 and 292.43

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Solution

The fourth proportional to 324.83, 447.99 and 292.43 is: 403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 447.99 = 292.43 : x
  2. Step 2: Convert to fraction form
    324.83/447.99 = 292.43/x
  3. Step 3: Cross multiply
    324.83x = 447.99 × 292.43
  4. Step 4: Simplify right side
    324.83x = 131,005.72
  5. Step 5: Solve for x
    x = 131,005.72/324.83
  6. Step 6: Final answer
    x = 403.31

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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.