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Finding the Fourth Proportional to 324.09, 485.72 and 194.18

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Solution

The fourth proportional to 324.09, 485.72 and 194.18 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 485.72 = 194.18 : x
  2. Step 2: Convert to fraction form
    324.09/485.72 = 194.18/x
  3. Step 3: Cross multiply
    324.09x = 485.72 × 194.18
  4. Step 4: Simplify right side
    324.09x = 94,317.11
  5. Step 5: Solve for x
    x = 94,317.11/324.09
  6. Step 6: Final answer
    x = 291.02

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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.