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Finding the Fourth Proportional to 328.42, 453.25 and 204.09

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Solution

The fourth proportional to 328.42, 453.25 and 204.09 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.42 : 453.25 = 204.09 : x
  2. Step 2: Convert to fraction form
    328.42/453.25 = 204.09/x
  3. Step 3: Cross multiply
    328.42x = 453.25 × 204.09
  4. Step 4: Simplify right side
    328.42x = 92,501.20
  5. Step 5: Solve for x
    x = 92,501.20/328.42
  6. Step 6: Final answer
    x = 281.65

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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.