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Finding the Fourth Proportional to 196.40, 271.03 and 107.89

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Solution

The fourth proportional to 196.40, 271.03 and 107.89 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 271.03 = 107.89 : x
  2. Step 2: Convert to fraction form
    196.40/271.03 = 107.89/x
  3. Step 3: Cross multiply
    196.40x = 271.03 × 107.89
  4. Step 4: Simplify right side
    196.40x = 29,240.75
  5. Step 5: Solve for x
    x = 29,240.75/196.40
  6. Step 6: Final answer
    x = 148.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.