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Finding the Fourth Proportional to 221.54, 330.48 and 212.32

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Solution

The fourth proportional to 221.54, 330.48 and 212.32 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 330.48 = 212.32 : x
  2. Step 2: Convert to fraction form
    221.54/330.48 = 212.32/x
  3. Step 3: Cross multiply
    221.54x = 330.48 × 212.32
  4. Step 4: Simplify right side
    221.54x = 70,167.93
  5. Step 5: Solve for x
    x = 70,167.93/221.54
  6. Step 6: Final answer
    x = 316.74

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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.