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Finding the Fourth Proportional to 196.08, 293.84 and 122.86

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Solution

The fourth proportional to 196.08, 293.84 and 122.86 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 293.84 = 122.86 : x
  2. Step 2: Convert to fraction form
    196.08/293.84 = 122.86/x
  3. Step 3: Cross multiply
    196.08x = 293.84 × 122.86
  4. Step 4: Simplify right side
    196.08x = 36,101.18
  5. Step 5: Solve for x
    x = 36,101.18/196.08
  6. Step 6: Final answer
    x = 184.11

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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.