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Finding the Fourth Proportional to 305.35, 421.73 and 255.73

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Solution

The fourth proportional to 305.35, 421.73 and 255.73 is: 353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.35 : 421.73 = 255.73 : x
  2. Step 2: Convert to fraction form
    305.35/421.73 = 255.73/x
  3. Step 3: Cross multiply
    305.35x = 421.73 × 255.73
  4. Step 4: Simplify right side
    305.35x = 107,849.01
  5. Step 5: Solve for x
    x = 107,849.01/305.35
  6. Step 6: Final answer
    x = 353.20

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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.