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Finding the Fourth Proportional to 304.98, 420.87 and 165.09

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Solution

The fourth proportional to 304.98, 420.87 and 165.09 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 420.87 = 165.09 : x
  2. Step 2: Convert to fraction form
    304.98/420.87 = 165.09/x
  3. Step 3: Cross multiply
    304.98x = 420.87 × 165.09
  4. Step 4: Simplify right side
    304.98x = 69,481.44
  5. Step 5: Solve for x
    x = 69,481.44/304.98
  6. Step 6: Final answer
    x = 227.83

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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.