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Finding the Fourth Proportional to 446.12, 668.10 and 272.90

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Solution

The fourth proportional to 446.12, 668.10 and 272.90 is: 408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 668.10 = 272.90 : x
  2. Step 2: Convert to fraction form
    446.12/668.10 = 272.90/x
  3. Step 3: Cross multiply
    446.12x = 668.10 × 272.90
  4. Step 4: Simplify right side
    446.12x = 182,324.49
  5. Step 5: Solve for x
    x = 182,324.49/446.12
  6. Step 6: Final answer
    x = 408.69

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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.