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Finding the Fourth Proportional to 456.91, 685.17 and 196.90

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Solution

The fourth proportional to 456.91, 685.17 and 196.90 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.91 : 685.17 = 196.90 : x
  2. Step 2: Convert to fraction form
    456.91/685.17 = 196.90/x
  3. Step 3: Cross multiply
    456.91x = 685.17 × 196.90
  4. Step 4: Simplify right side
    456.91x = 134,908.26
  5. Step 5: Solve for x
    x = 134,908.26/456.91
  6. Step 6: Final answer
    x = 295.26

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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.