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Finding the Fourth Proportional to 453.36, 680.68 and 197.04

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Solution

The fourth proportional to 453.36, 680.68 and 197.04 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.36 : 680.68 = 197.04 : x
  2. Step 2: Convert to fraction form
    453.36/680.68 = 197.04/x
  3. Step 3: Cross multiply
    453.36x = 680.68 × 197.04
  4. Step 4: Simplify right side
    453.36x = 134,121.19
  5. Step 5: Solve for x
    x = 134,121.19/453.36
  6. Step 6: Final answer
    x = 295.84

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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.