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Finding the Fourth Proportional to 443.80, 666.60 and 270.64

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Solution

The fourth proportional to 443.80, 666.60 and 270.64 is: 406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 666.60 = 270.64 : x
  2. Step 2: Convert to fraction form
    443.80/666.60 = 270.64/x
  3. Step 3: Cross multiply
    443.80x = 666.60 × 270.64
  4. Step 4: Simplify right side
    443.80x = 180,408.62
  5. Step 5: Solve for x
    x = 180,408.62/443.80
  6. Step 6: Final answer
    x = 406.51

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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.