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Finding the Fourth Proportional to 303.81, 419.31 and 204.18

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Solution

The fourth proportional to 303.81, 419.31 and 204.18 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 419.31 = 204.18 : x
  2. Step 2: Convert to fraction form
    303.81/419.31 = 204.18/x
  3. Step 3: Cross multiply
    303.81x = 419.31 × 204.18
  4. Step 4: Simplify right side
    303.81x = 85,614.72
  5. Step 5: Solve for x
    x = 85,614.72/303.81
  6. Step 6: Final answer
    x = 281.80

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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.