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Finding the Fourth Proportional to 324.23, 485.31 and 214.64

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Solution

The fourth proportional to 324.23, 485.31 and 214.64 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.23 : 485.31 = 214.64 : x
  2. Step 2: Convert to fraction form
    324.23/485.31 = 214.64/x
  3. Step 3: Cross multiply
    324.23x = 485.31 × 214.64
  4. Step 4: Simplify right side
    324.23x = 104,166.94
  5. Step 5: Solve for x
    x = 104,166.94/324.23
  6. Step 6: Final answer
    x = 321.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.