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Finding the Fourth Proportional to 324.88, 490.86 and 322

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Solution

The fourth proportional to 324.88, 490.86 and 322 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.88 : 490.86 = 322 : x
  2. Step 2: Convert to fraction form
    324.88/490.86 = 322/x
  3. Step 3: Cross multiply
    324.88x = 490.86 × 322
  4. Step 4: Simplify right side
    324.88x = 158,056.92
  5. Step 5: Solve for x
    x = 158,056.92/324.88
  6. Step 6: Final answer
    x = 486.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.