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Finding the Fourth Proportional to 196.80, 295.23 and 105.57

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Solution

The fourth proportional to 196.80, 295.23 and 105.57 is: 158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 295.23 = 105.57 : x
  2. Step 2: Convert to fraction form
    196.80/295.23 = 105.57/x
  3. Step 3: Cross multiply
    196.80x = 295.23 × 105.57
  4. Step 4: Simplify right side
    196.80x = 31,167.43
  5. Step 5: Solve for x
    x = 31,167.43/196.80
  6. Step 6: Final answer
    x = 158.37

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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.