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Finding the Fourth Proportional to 311.21, 429.34 and 180.19

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Solution

The fourth proportional to 311.21, 429.34 and 180.19 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 429.34 = 180.19 : x
  2. Step 2: Convert to fraction form
    311.21/429.34 = 180.19/x
  3. Step 3: Cross multiply
    311.21x = 429.34 × 180.19
  4. Step 4: Simplify right side
    311.21x = 77,359.73
  5. Step 5: Solve for x
    x = 77,359.73/311.21
  6. Step 6: Final answer
    x = 248.58

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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.