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Finding the Fourth Proportional to 303.45, 418.97 and 191.60

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Solution

The fourth proportional to 303.45, 418.97 and 191.60 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.45 : 418.97 = 191.60 : x
  2. Step 2: Convert to fraction form
    303.45/418.97 = 191.60/x
  3. Step 3: Cross multiply
    303.45x = 418.97 × 191.60
  4. Step 4: Simplify right side
    303.45x = 80,271.60
  5. Step 5: Solve for x
    x = 80,271.60/303.45
  6. Step 6: Final answer
    x = 264.53

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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.