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Finding the Fourth Proportional to 328.38, 453.20 and 181.03

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Solution

The fourth proportional to 328.38, 453.20 and 181.03 is: 249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.38 : 453.20 = 181.03 : x
  2. Step 2: Convert to fraction form
    328.38/453.20 = 181.03/x
  3. Step 3: Cross multiply
    328.38x = 453.20 × 181.03
  4. Step 4: Simplify right side
    328.38x = 82,042.80
  5. Step 5: Solve for x
    x = 82,042.80/328.38
  6. Step 6: Final answer
    x = 249.84

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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.