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Finding the Fourth Proportional to 223.20, 306.92 and 199.51

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Solution

The fourth proportional to 223.20, 306.92 and 199.51 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 306.92 = 199.51 : x
  2. Step 2: Convert to fraction form
    223.20/306.92 = 199.51/x
  3. Step 3: Cross multiply
    223.20x = 306.92 × 199.51
  4. Step 4: Simplify right side
    223.20x = 61,233.34
  5. Step 5: Solve for x
    x = 61,233.34/223.20
  6. Step 6: Final answer
    x = 274.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.