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Finding the Fourth Proportional to 196.52, 294.78 and 167.83

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Solution

The fourth proportional to 196.52, 294.78 and 167.83 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 294.78 = 167.83 : x
  2. Step 2: Convert to fraction form
    196.52/294.78 = 167.83/x
  3. Step 3: Cross multiply
    196.52x = 294.78 × 167.83
  4. Step 4: Simplify right side
    196.52x = 49,472.82
  5. Step 5: Solve for x
    x = 49,472.82/196.52
  6. Step 6: Final answer
    x = 251.75

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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.