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Finding the Fourth Proportional to 304.42, 419.81 and 203.27

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Solution

The fourth proportional to 304.42, 419.81 and 203.27 is: 280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.42 : 419.81 = 203.27 : x
  2. Step 2: Convert to fraction form
    304.42/419.81 = 203.27/x
  3. Step 3: Cross multiply
    304.42x = 419.81 × 203.27
  4. Step 4: Simplify right side
    304.42x = 85,336.34
  5. Step 5: Solve for x
    x = 85,336.34/304.42
  6. Step 6: Final answer
    x = 280.33

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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.