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Finding the Fourth Proportional to 311.19, 429.38 and 186.82

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Solution

The fourth proportional to 311.19, 429.38 and 186.82 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.19 : 429.38 = 186.82 : x
  2. Step 2: Convert to fraction form
    311.19/429.38 = 186.82/x
  3. Step 3: Cross multiply
    311.19x = 429.38 × 186.82
  4. Step 4: Simplify right side
    311.19x = 80,216.77
  5. Step 5: Solve for x
    x = 80,216.77/311.19
  6. Step 6: Final answer
    x = 257.77

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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.