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Finding the Fourth Proportional to 196.95, 293.84 and 189.86

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Solution

The fourth proportional to 196.95, 293.84 and 189.86 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.95 : 293.84 = 189.86 : x
  2. Step 2: Convert to fraction form
    196.95/293.84 = 189.86/x
  3. Step 3: Cross multiply
    196.95x = 293.84 × 189.86
  4. Step 4: Simplify right side
    196.95x = 55,789.30
  5. Step 5: Solve for x
    x = 55,789.30/196.95
  6. Step 6: Final answer
    x = 283.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.