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Finding the Fourth Proportional to 311.22, 429.58 and 186.84

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Solution

The fourth proportional to 311.22, 429.58 and 186.84 is: 257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 429.58 = 186.84 : x
  2. Step 2: Convert to fraction form
    311.22/429.58 = 186.84/x
  3. Step 3: Cross multiply
    311.22x = 429.58 × 186.84
  4. Step 4: Simplify right side
    311.22x = 80,262.73
  5. Step 5: Solve for x
    x = 80,262.73/311.22
  6. Step 6: Final answer
    x = 257.90

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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.