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Finding the Fourth Proportional to 304.30, 419.67 and 204.73

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Solution

The fourth proportional to 304.30, 419.67 and 204.73 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 419.67 = 204.73 : x
  2. Step 2: Convert to fraction form
    304.30/419.67 = 204.73/x
  3. Step 3: Cross multiply
    304.30x = 419.67 × 204.73
  4. Step 4: Simplify right side
    304.30x = 85,919.04
  5. Step 5: Solve for x
    x = 85,919.04/304.30
  6. Step 6: Final answer
    x = 282.35

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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.