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Finding the Fourth Proportional to 443.15, 664.15 and 196.27

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Solution

The fourth proportional to 443.15, 664.15 and 196.27 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.15 : 664.15 = 196.27 : x
  2. Step 2: Convert to fraction form
    443.15/664.15 = 196.27/x
  3. Step 3: Cross multiply
    443.15x = 664.15 × 196.27
  4. Step 4: Simplify right side
    443.15x = 130,354.67
  5. Step 5: Solve for x
    x = 130,354.67/443.15
  6. Step 6: Final answer
    x = 294.15

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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.