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Finding the Fourth Proportional to 324.81, 448.44 and 309.22

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Solution

The fourth proportional to 324.81, 448.44 and 309.22 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 448.44 = 309.22 : x
  2. Step 2: Convert to fraction form
    324.81/448.44 = 309.22/x
  3. Step 3: Cross multiply
    324.81x = 448.44 × 309.22
  4. Step 4: Simplify right side
    324.81x = 138,664.34
  5. Step 5: Solve for x
    x = 138,664.34/324.81
  6. Step 6: Final answer
    x = 426.91

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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.