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Finding the Fourth Proportional to 328.42, 453.25 and 181.07

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Solution

The fourth proportional to 328.42, 453.25 and 181.07 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.42 : 453.25 = 181.07 : x
  2. Step 2: Convert to fraction form
    328.42/453.25 = 181.07/x
  3. Step 3: Cross multiply
    328.42x = 453.25 × 181.07
  4. Step 4: Simplify right side
    328.42x = 82,069.64
  5. Step 5: Solve for x
    x = 82,069.64/328.42
  6. Step 6: Final answer
    x = 249.89

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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.