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Finding the Fourth Proportional to 305.31, 421.29 and 180.97

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Solution

The fourth proportional to 305.31, 421.29 and 180.97 is: 249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 421.29 = 180.97 : x
  2. Step 2: Convert to fraction form
    305.31/421.29 = 180.97/x
  3. Step 3: Cross multiply
    305.31x = 421.29 × 180.97
  4. Step 4: Simplify right side
    305.31x = 76,240.85
  5. Step 5: Solve for x
    x = 76,240.85/305.31
  6. Step 6: Final answer
    x = 249.72

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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.