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Finding the Fourth Proportional to 446.28, 667.80 and 272.98

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Solution

The fourth proportional to 446.28, 667.80 and 272.98 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 667.80 = 272.98 : x
  2. Step 2: Convert to fraction form
    446.28/667.80 = 272.98/x
  3. Step 3: Cross multiply
    446.28x = 667.80 × 272.98
  4. Step 4: Simplify right side
    446.28x = 182,296.04
  5. Step 5: Solve for x
    x = 182,296.04/446.28
  6. Step 6: Final answer
    x = 408.48

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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.