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Finding the Fourth Proportional to 196.50, 294.85 and 105.19

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Solution

The fourth proportional to 196.50, 294.85 and 105.19 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 294.85 = 105.19 : x
  2. Step 2: Convert to fraction form
    196.50/294.85 = 105.19/x
  3. Step 3: Cross multiply
    196.50x = 294.85 × 105.19
  4. Step 4: Simplify right side
    196.50x = 31,014.27
  5. Step 5: Solve for x
    x = 31,014.27/196.50
  6. Step 6: Final answer
    x = 157.84

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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.