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Finding the Fourth Proportional to 453.66, 680.37 and 193.65

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Solution

The fourth proportional to 453.66, 680.37 and 193.65 is: 290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.66 : 680.37 = 193.65 : x
  2. Step 2: Convert to fraction form
    453.66/680.37 = 193.65/x
  3. Step 3: Cross multiply
    453.66x = 680.37 × 193.65
  4. Step 4: Simplify right side
    453.66x = 131,753.65
  5. Step 5: Solve for x
    x = 131,753.65/453.66
  6. Step 6: Final answer
    x = 290.42

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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.