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Finding the Fourth Proportional to 328.32, 453.20 and 204.19

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Solution

The fourth proportional to 328.32, 453.20 and 204.19 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.32 : 453.20 = 204.19 : x
  2. Step 2: Convert to fraction form
    328.32/453.20 = 204.19/x
  3. Step 3: Cross multiply
    328.32x = 453.20 × 204.19
  4. Step 4: Simplify right side
    328.32x = 92,536.75
  5. Step 5: Solve for x
    x = 92,536.75/328.32
  6. Step 6: Final answer
    x = 281.85

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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.