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Finding the Fourth Proportional to 324.16, 485.43 and 194.02

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Solution

The fourth proportional to 324.16, 485.43 and 194.02 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 485.43 = 194.02 : x
  2. Step 2: Convert to fraction form
    324.16/485.43 = 194.02/x
  3. Step 3: Cross multiply
    324.16x = 485.43 × 194.02
  4. Step 4: Simplify right side
    324.16x = 94,183.13
  5. Step 5: Solve for x
    x = 94,183.13/324.16
  6. Step 6: Final answer
    x = 290.55

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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.