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Finding the Fourth Proportional to 196.34, 294.71 and 103.82

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Solution

The fourth proportional to 196.34, 294.71 and 103.82 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.71 = 103.82 : x
  2. Step 2: Convert to fraction form
    196.34/294.71 = 103.82/x
  3. Step 3: Cross multiply
    196.34x = 294.71 × 103.82
  4. Step 4: Simplify right side
    196.34x = 30,594.80
  5. Step 5: Solve for x
    x = 30,594.80/196.34
  6. Step 6: Final answer
    x = 155.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.