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Finding the Fourth Proportional to 441.27, 662.01 and 304.38

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Solution

The fourth proportional to 441.27, 662.01 and 304.38 is: 456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.27 : 662.01 = 304.38 : x
  2. Step 2: Convert to fraction form
    441.27/662.01 = 304.38/x
  3. Step 3: Cross multiply
    441.27x = 662.01 × 304.38
  4. Step 4: Simplify right side
    441.27x = 201,502.60
  5. Step 5: Solve for x
    x = 201,502.60/441.27
  6. Step 6: Final answer
    x = 456.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.