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Finding the Fourth Proportional to 324.19, 447.69 and 295.03

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Solution

The fourth proportional to 324.19, 447.69 and 295.03 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.19 : 447.69 = 295.03 : x
  2. Step 2: Convert to fraction form
    324.19/447.69 = 295.03/x
  3. Step 3: Cross multiply
    324.19x = 447.69 × 295.03
  4. Step 4: Simplify right side
    324.19x = 132,081.98
  5. Step 5: Solve for x
    x = 132,081.98/324.19
  6. Step 6: Final answer
    x = 407.42

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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.