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Finding the Fourth Proportional to 455.45, 682.86 and 211.64

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Solution

The fourth proportional to 455.45, 682.86 and 211.64 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.45 : 682.86 = 211.64 : x
  2. Step 2: Convert to fraction form
    455.45/682.86 = 211.64/x
  3. Step 3: Cross multiply
    455.45x = 682.86 × 211.64
  4. Step 4: Simplify right side
    455.45x = 144,520.49
  5. Step 5: Solve for x
    x = 144,520.49/455.45
  6. Step 6: Final answer
    x = 317.31

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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.