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Finding the Fourth Proportional to 303.20, 418.40 and 186.78

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Solution

The fourth proportional to 303.20, 418.40 and 186.78 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.20 : 418.40 = 186.78 : x
  2. Step 2: Convert to fraction form
    303.20/418.40 = 186.78/x
  3. Step 3: Cross multiply
    303.20x = 418.40 × 186.78
  4. Step 4: Simplify right side
    303.20x = 78,148.75
  5. Step 5: Solve for x
    x = 78,148.75/303.20
  6. Step 6: Final answer
    x = 257.75

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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.