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Finding the Fourth Proportional to 221.94, 330.48 and 212.63

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Solution

The fourth proportional to 221.94, 330.48 and 212.63 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.94 : 330.48 = 212.63 : x
  2. Step 2: Convert to fraction form
    221.94/330.48 = 212.63/x
  3. Step 3: Cross multiply
    221.94x = 330.48 × 212.63
  4. Step 4: Simplify right side
    221.94x = 70,268.31
  5. Step 5: Solve for x
    x = 70,268.31/221.94
  6. Step 6: Final answer
    x = 316.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.