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Finding the Fourth Proportional to 196.38, 294.63 and 115.05

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Solution

The fourth proportional to 196.38, 294.63 and 115.05 is: 172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 294.63 = 115.05 : x
  2. Step 2: Convert to fraction form
    196.38/294.63 = 115.05/x
  3. Step 3: Cross multiply
    196.38x = 294.63 × 115.05
  4. Step 4: Simplify right side
    196.38x = 33,897.18
  5. Step 5: Solve for x
    x = 33,897.18/196.38
  6. Step 6: Final answer
    x = 172.61

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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.