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Finding the Fourth Proportional to 453.20, 680.06 and 209.81

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Solution

The fourth proportional to 453.20, 680.06 and 209.81 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 680.06 = 209.81 : x
  2. Step 2: Convert to fraction form
    453.20/680.06 = 209.81/x
  3. Step 3: Cross multiply
    453.20x = 680.06 × 209.81
  4. Step 4: Simplify right side
    453.20x = 142,680.51
  5. Step 5: Solve for x
    x = 142,680.51/453.20
  6. Step 6: Final answer
    x = 314.83

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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.