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Finding the Fourth Proportional to 311.23, 429.51 and 186.85

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Solution

The fourth proportional to 311.23, 429.51 and 186.85 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.23 : 429.51 = 186.85 : x
  2. Step 2: Convert to fraction form
    311.23/429.51 = 186.85/x
  3. Step 3: Cross multiply
    311.23x = 429.51 × 186.85
  4. Step 4: Simplify right side
    311.23x = 80,253.94
  5. Step 5: Solve for x
    x = 80,253.94/311.23
  6. Step 6: Final answer
    x = 257.86

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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.