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Finding the Fourth Proportional to 324.48, 446.09 and 322.53

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Solution

The fourth proportional to 324.48, 446.09 and 322.53 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.48 : 446.09 = 322.53 : x
  2. Step 2: Convert to fraction form
    324.48/446.09 = 322.53/x
  3. Step 3: Cross multiply
    324.48x = 446.09 × 322.53
  4. Step 4: Simplify right side
    324.48x = 143,877.41
  5. Step 5: Solve for x
    x = 143,877.41/324.48
  6. Step 6: Final answer
    x = 443.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.