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Finding the Fourth Proportional to 456.52, 684.21 and 196.22

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Solution

The fourth proportional to 456.52, 684.21 and 196.22 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.21 = 196.22 : x
  2. Step 2: Convert to fraction form
    456.52/684.21 = 196.22/x
  3. Step 3: Cross multiply
    456.52x = 684.21 × 196.22
  4. Step 4: Simplify right side
    456.52x = 134,255.69
  5. Step 5: Solve for x
    x = 134,255.69/456.52
  6. Step 6: Final answer
    x = 294.09

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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.