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Finding the Fourth Proportional to 453.47, 680.20 and 193.19

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Solution

The fourth proportional to 453.47, 680.20 and 193.19 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.47 : 680.20 = 193.19 : x
  2. Step 2: Convert to fraction form
    453.47/680.20 = 193.19/x
  3. Step 3: Cross multiply
    453.47x = 680.20 × 193.19
  4. Step 4: Simplify right side
    453.47x = 131,403.95
  5. Step 5: Solve for x
    x = 131,403.95/453.47
  6. Step 6: Final answer
    x = 289.78

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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.