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Finding the Fourth Proportional to 223.03, 332.79 and 198.67

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Solution

The fourth proportional to 223.03, 332.79 and 198.67 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.03 : 332.79 = 198.67 : x
  2. Step 2: Convert to fraction form
    223.03/332.79 = 198.67/x
  3. Step 3: Cross multiply
    223.03x = 332.79 × 198.67
  4. Step 4: Simplify right side
    223.03x = 66,114.89
  5. Step 5: Solve for x
    x = 66,114.89/223.03
  6. Step 6: Final answer
    x = 296.44

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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.