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Finding the Fourth Proportional to 328.64, 453.62 and 204.50

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Solution

The fourth proportional to 328.64, 453.62 and 204.50 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 453.62 = 204.50 : x
  2. Step 2: Convert to fraction form
    328.64/453.62 = 204.50/x
  3. Step 3: Cross multiply
    328.64x = 453.62 × 204.50
  4. Step 4: Simplify right side
    328.64x = 92,765.29
  5. Step 5: Solve for x
    x = 92,765.29/328.64
  6. Step 6: Final answer
    x = 282.27

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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.