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Finding the Fourth Proportional to 223.98, 337.20 and 205.14

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Solution

The fourth proportional to 223.98, 337.20 and 205.14 is: 308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 337.20 = 205.14 : x
  2. Step 2: Convert to fraction form
    223.98/337.20 = 205.14/x
  3. Step 3: Cross multiply
    223.98x = 337.20 × 205.14
  4. Step 4: Simplify right side
    223.98x = 69,173.21
  5. Step 5: Solve for x
    x = 69,173.21/223.98
  6. Step 6: Final answer
    x = 308.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.