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Finding the Fourth Proportional to 196.21, 296.09 and 194.69

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Solution

The fourth proportional to 196.21, 296.09 and 194.69 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 296.09 = 194.69 : x
  2. Step 2: Convert to fraction form
    196.21/296.09 = 194.69/x
  3. Step 3: Cross multiply
    196.21x = 296.09 × 194.69
  4. Step 4: Simplify right side
    196.21x = 57,646.26
  5. Step 5: Solve for x
    x = 57,646.26/196.21
  6. Step 6: Final answer
    x = 293.80

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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.