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Finding the Fourth Proportional to 196.92, 296.46 and 143.19

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Solution

The fourth proportional to 196.92, 296.46 and 143.19 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 296.46 = 143.19 : x
  2. Step 2: Convert to fraction form
    196.92/296.46 = 143.19/x
  3. Step 3: Cross multiply
    196.92x = 296.46 × 143.19
  4. Step 4: Simplify right side
    196.92x = 42,450.11
  5. Step 5: Solve for x
    x = 42,450.11/196.92
  6. Step 6: Final answer
    x = 215.57

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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.