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Finding the Fourth Proportional to 328.94, 453.90 and 204.62

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Solution

The fourth proportional to 328.94, 453.90 and 204.62 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.94 : 453.90 = 204.62 : x
  2. Step 2: Convert to fraction form
    328.94/453.90 = 204.62/x
  3. Step 3: Cross multiply
    328.94x = 453.90 × 204.62
  4. Step 4: Simplify right side
    328.94x = 92,877.02
  5. Step 5: Solve for x
    x = 92,877.02/328.94
  6. Step 6: Final answer
    x = 282.35

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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.