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Finding the Fourth Proportional to 629.12, 942.94 and 217.88

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Solution

The fourth proportional to 629.12, 942.94 and 217.88 is: 326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 942.94 = 217.88 : x
  2. Step 2: Convert to fraction form
    629.12/942.94 = 217.88/x
  3. Step 3: Cross multiply
    629.12x = 942.94 × 217.88
  4. Step 4: Simplify right side
    629.12x = 205,447.77
  5. Step 5: Solve for x
    x = 205,447.77/629.12
  6. Step 6: Final answer
    x = 326.56

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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.