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Finding the Fourth Proportional to 196.20, 296.13 and 190.71

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Solution

The fourth proportional to 196.20, 296.13 and 190.71 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 296.13 = 190.71 : x
  2. Step 2: Convert to fraction form
    196.20/296.13 = 190.71/x
  3. Step 3: Cross multiply
    196.20x = 296.13 × 190.71
  4. Step 4: Simplify right side
    196.20x = 56,474.95
  5. Step 5: Solve for x
    x = 56,474.95/196.20
  6. Step 6: Final answer
    x = 287.84

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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.