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Finding the Fourth Proportional to 324.54, 485.46 and 216.54

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Solution

The fourth proportional to 324.54, 485.46 and 216.54 is: 323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 485.46 = 216.54 : x
  2. Step 2: Convert to fraction form
    324.54/485.46 = 216.54/x
  3. Step 3: Cross multiply
    324.54x = 485.46 × 216.54
  4. Step 4: Simplify right side
    324.54x = 105,121.51
  5. Step 5: Solve for x
    x = 105,121.51/324.54
  6. Step 6: Final answer
    x = 323.91

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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.