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Finding the Fourth Proportional to 196.89, 294.85 and 193.24

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Solution

The fourth proportional to 196.89, 294.85 and 193.24 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 294.85 = 193.24 : x
  2. Step 2: Convert to fraction form
    196.89/294.85 = 193.24/x
  3. Step 3: Cross multiply
    196.89x = 294.85 × 193.24
  4. Step 4: Simplify right side
    196.89x = 56,976.81
  5. Step 5: Solve for x
    x = 56,976.81/196.89
  6. Step 6: Final answer
    x = 289.38

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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.