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Finding the Fourth Proportional to 223.16, 306.59 and 191.97

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Solution

The fourth proportional to 223.16, 306.59 and 191.97 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 306.59 = 191.97 : x
  2. Step 2: Convert to fraction form
    223.16/306.59 = 191.97/x
  3. Step 3: Cross multiply
    223.16x = 306.59 × 191.97
  4. Step 4: Simplify right side
    223.16x = 58,855.12
  5. Step 5: Solve for x
    x = 58,855.12/223.16
  6. Step 6: Final answer
    x = 263.74

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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.