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Finding the Fourth Proportional to 455.31, 682.94 and 211.85

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Solution

The fourth proportional to 455.31, 682.94 and 211.85 is: 317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 682.94 = 211.85 : x
  2. Step 2: Convert to fraction form
    455.31/682.94 = 211.85/x
  3. Step 3: Cross multiply
    455.31x = 682.94 × 211.85
  4. Step 4: Simplify right side
    455.31x = 144,676.37
  5. Step 5: Solve for x
    x = 144,676.37/455.31
  6. Step 6: Final answer
    x = 317.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.