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Finding the Fourth Proportional to 324.45, 485.72 and 214.56

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Solution

The fourth proportional to 324.45, 485.72 and 214.56 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 485.72 = 214.56 : x
  2. Step 2: Convert to fraction form
    324.45/485.72 = 214.56/x
  3. Step 3: Cross multiply
    324.45x = 485.72 × 214.56
  4. Step 4: Simplify right side
    324.45x = 104,216.08
  5. Step 5: Solve for x
    x = 104,216.08/324.45
  6. Step 6: Final answer
    x = 321.21

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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.