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Finding the Fourth Proportional to 454.63, 682.01 and 211.14

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Solution

The fourth proportional to 454.63, 682.01 and 211.14 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 682.01 = 211.14 : x
  2. Step 2: Convert to fraction form
    454.63/682.01 = 211.14/x
  3. Step 3: Cross multiply
    454.63x = 682.01 × 211.14
  4. Step 4: Simplify right side
    454.63x = 143,995.13
  5. Step 5: Solve for x
    x = 143,995.13/454.63
  6. Step 6: Final answer
    x = 316.73

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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.