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Finding the Fourth Proportional to 303.23, 455.07 and 200.48

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Solution

The fourth proportional to 303.23, 455.07 and 200.48 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.23 : 455.07 = 200.48 : x
  2. Step 2: Convert to fraction form
    303.23/455.07 = 200.48/x
  3. Step 3: Cross multiply
    303.23x = 455.07 × 200.48
  4. Step 4: Simplify right side
    303.23x = 91,232.43
  5. Step 5: Solve for x
    x = 91,232.43/303.23
  6. Step 6: Final answer
    x = 300.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.