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Finding the Fourth Proportional to 196.22, 291.83 and 193.87

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Solution

The fourth proportional to 196.22, 291.83 and 193.87 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 291.83 = 193.87 : x
  2. Step 2: Convert to fraction form
    196.22/291.83 = 193.87/x
  3. Step 3: Cross multiply
    196.22x = 291.83 × 193.87
  4. Step 4: Simplify right side
    196.22x = 56,576.20
  5. Step 5: Solve for x
    x = 56,576.20/196.22
  6. Step 6: Final answer
    x = 288.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.