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Finding the Fourth Proportional to 449.10, 672.57 and 304.38

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Solution

The fourth proportional to 449.10, 672.57 and 304.38 is: 455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.10 : 672.57 = 304.38 : x
  2. Step 2: Convert to fraction form
    449.10/672.57 = 304.38/x
  3. Step 3: Cross multiply
    449.10x = 672.57 × 304.38
  4. Step 4: Simplify right side
    449.10x = 204,716.86
  5. Step 5: Solve for x
    x = 204,716.86/449.10
  6. Step 6: Final answer
    x = 455.84

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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.