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Finding the Fourth Proportional to 324.02, 484.82 and 194.09

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Solution

The fourth proportional to 324.02, 484.82 and 194.09 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.02 : 484.82 = 194.09 : x
  2. Step 2: Convert to fraction form
    324.02/484.82 = 194.09/x
  3. Step 3: Cross multiply
    324.02x = 484.82 × 194.09
  4. Step 4: Simplify right side
    324.02x = 94,098.71
  5. Step 5: Solve for x
    x = 94,098.71/324.02
  6. Step 6: Final answer
    x = 290.41

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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.