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Finding the Fourth Proportional to 196.71, 296.22 and 145.71

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Solution

The fourth proportional to 196.71, 296.22 and 145.71 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.71 : 296.22 = 145.71 : x
  2. Step 2: Convert to fraction form
    196.71/296.22 = 145.71/x
  3. Step 3: Cross multiply
    196.71x = 296.22 × 145.71
  4. Step 4: Simplify right side
    196.71x = 43,162.78
  5. Step 5: Solve for x
    x = 43,162.78/196.71
  6. Step 6: Final answer
    x = 219.42

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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.