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Finding the Fourth Proportional to 449.46, 674.42 and 304.88

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Solution

The fourth proportional to 449.46, 674.42 and 304.88 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 674.42 = 304.88 : x
  2. Step 2: Convert to fraction form
    449.46/674.42 = 304.88/x
  3. Step 3: Cross multiply
    449.46x = 674.42 × 304.88
  4. Step 4: Simplify right side
    449.46x = 205,612.27
  5. Step 5: Solve for x
    x = 205,612.27/449.46
  6. Step 6: Final answer
    x = 457.47

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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.