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Finding the Fourth Proportional to 328.69, 453.61 and 181.34

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Solution

The fourth proportional to 328.69, 453.61 and 181.34 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 453.61 = 181.34 : x
  2. Step 2: Convert to fraction form
    328.69/453.61 = 181.34/x
  3. Step 3: Cross multiply
    328.69x = 453.61 × 181.34
  4. Step 4: Simplify right side
    328.69x = 82,257.30
  5. Step 5: Solve for x
    x = 82,257.30/328.69
  6. Step 6: Final answer
    x = 250.26

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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.