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Finding the Fourth Proportional to 324.13, 485 and 194.21

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Solution

The fourth proportional to 324.13, 485 and 194.21 is: 290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.13 : 485 = 194.21 : x
  2. Step 2: Convert to fraction form
    324.13/485 = 194.21/x
  3. Step 3: Cross multiply
    324.13x = 485 × 194.21
  4. Step 4: Simplify right side
    324.13x = 94,191.85
  5. Step 5: Solve for x
    x = 94,191.85/324.13
  6. Step 6: Final answer
    x = 290.60

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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.