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Finding the Fourth Proportional to 221.99, 330.76 and 197.74

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Solution

The fourth proportional to 221.99, 330.76 and 197.74 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 330.76 = 197.74 : x
  2. Step 2: Convert to fraction form
    221.99/330.76 = 197.74/x
  3. Step 3: Cross multiply
    221.99x = 330.76 × 197.74
  4. Step 4: Simplify right side
    221.99x = 65,403.90
  5. Step 5: Solve for x
    x = 65,403.90/221.99
  6. Step 6: Final answer
    x = 294.63

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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.