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Finding the Fourth Proportional to 456.52, 684.77 and 196.48

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Solution

The fourth proportional to 456.52, 684.77 and 196.48 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.77 = 196.48 : x
  2. Step 2: Convert to fraction form
    456.52/684.77 = 196.48/x
  3. Step 3: Cross multiply
    456.52x = 684.77 × 196.48
  4. Step 4: Simplify right side
    456.52x = 134,540.74
  5. Step 5: Solve for x
    x = 134,540.74/456.52
  6. Step 6: Final answer
    x = 294.71

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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.