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Finding the Fourth Proportional to 303.41, 418.69 and 185.36

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Solution

The fourth proportional to 303.41, 418.69 and 185.36 is: 255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.41 : 418.69 = 185.36 : x
  2. Step 2: Convert to fraction form
    303.41/418.69 = 185.36/x
  3. Step 3: Cross multiply
    303.41x = 418.69 × 185.36
  4. Step 4: Simplify right side
    303.41x = 77,610.57
  5. Step 5: Solve for x
    x = 77,610.57/303.41
  6. Step 6: Final answer
    x = 255.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.