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Finding the Fourth Proportional to 222.88, 332.61 and 196.91

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Solution

The fourth proportional to 222.88, 332.61 and 196.91 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.88 : 332.61 = 196.91 : x
  2. Step 2: Convert to fraction form
    222.88/332.61 = 196.91/x
  3. Step 3: Cross multiply
    222.88x = 332.61 × 196.91
  4. Step 4: Simplify right side
    222.88x = 65,492.15
  5. Step 5: Solve for x
    x = 65,492.15/222.88
  6. Step 6: Final answer
    x = 293.85

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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.