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Finding the Fourth Proportional to 303.27, 455.21 and 204.43

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Solution

The fourth proportional to 303.27, 455.21 and 204.43 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.27 : 455.21 = 204.43 : x
  2. Step 2: Convert to fraction form
    303.27/455.21 = 204.43/x
  3. Step 3: Cross multiply
    303.27x = 455.21 × 204.43
  4. Step 4: Simplify right side
    303.27x = 93,056.19
  5. Step 5: Solve for x
    x = 93,056.19/303.27
  6. Step 6: Final answer
    x = 306.84

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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.