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Finding the Fourth Proportional to 196.28, 296.15 and 194.12

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Solution

The fourth proportional to 196.28, 296.15 and 194.12 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.28 : 296.15 = 194.12 : x
  2. Step 2: Convert to fraction form
    196.28/296.15 = 194.12/x
  3. Step 3: Cross multiply
    196.28x = 296.15 × 194.12
  4. Step 4: Simplify right side
    196.28x = 57,488.64
  5. Step 5: Solve for x
    x = 57,488.64/196.28
  6. Step 6: Final answer
    x = 292.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.