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Finding the Fourth Proportional to 223.02, 306.11 and 197.91

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Solution

The fourth proportional to 223.02, 306.11 and 197.91 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 306.11 = 197.91 : x
  2. Step 2: Convert to fraction form
    223.02/306.11 = 197.91/x
  3. Step 3: Cross multiply
    223.02x = 306.11 × 197.91
  4. Step 4: Simplify right side
    223.02x = 60,582.72
  5. Step 5: Solve for x
    x = 60,582.72/223.02
  6. Step 6: Final answer
    x = 271.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.