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Finding the Fourth Proportional to 446.13, 668.46 and 272.85

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Solution

The fourth proportional to 446.13, 668.46 and 272.85 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 668.46 = 272.85 : x
  2. Step 2: Convert to fraction form
    446.13/668.46 = 272.85/x
  3. Step 3: Cross multiply
    446.13x = 668.46 × 272.85
  4. Step 4: Simplify right side
    446.13x = 182,389.31
  5. Step 5: Solve for x
    x = 182,389.31/446.13
  6. Step 6: Final answer
    x = 408.83

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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.