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Finding the Fourth Proportional to 223.94, 335.10 and 200.72

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Solution

The fourth proportional to 223.94, 335.10 and 200.72 is: 300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.94 : 335.10 = 200.72 : x
  2. Step 2: Convert to fraction form
    223.94/335.10 = 200.72/x
  3. Step 3: Cross multiply
    223.94x = 335.10 × 200.72
  4. Step 4: Simplify right side
    223.94x = 67,261.27
  5. Step 5: Solve for x
    x = 67,261.27/223.94
  6. Step 6: Final answer
    x = 300.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.