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Finding the Fourth Proportional to 328.43, 453.14 and 204.10

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Solution

The fourth proportional to 328.43, 453.14 and 204.10 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.43 : 453.14 = 204.10 : x
  2. Step 2: Convert to fraction form
    328.43/453.14 = 204.10/x
  3. Step 3: Cross multiply
    328.43x = 453.14 × 204.10
  4. Step 4: Simplify right side
    328.43x = 92,482.59
  5. Step 5: Solve for x
    x = 92,482.59/328.43
  6. Step 6: Final answer
    x = 281.59

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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.