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Finding the Fourth Proportional to 453.42, 680.10 and 193.41

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Solution

The fourth proportional to 453.42, 680.10 and 193.41 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 680.10 = 193.41 : x
  2. Step 2: Convert to fraction form
    453.42/680.10 = 193.41/x
  3. Step 3: Cross multiply
    453.42x = 680.10 × 193.41
  4. Step 4: Simplify right side
    453.42x = 131,539.33
  5. Step 5: Solve for x
    x = 131,539.33/453.42
  6. Step 6: Final answer
    x = 290.10

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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.