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Finding the Fourth Proportional to 151.43, 209.92 and 143.22

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Solution

The fourth proportional to 151.43, 209.92 and 143.22 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.43 : 209.92 = 143.22 : x
  2. Step 2: Convert to fraction form
    151.43/209.92 = 143.22/x
  3. Step 3: Cross multiply
    151.43x = 209.92 × 143.22
  4. Step 4: Simplify right side
    151.43x = 30,064.74
  5. Step 5: Solve for x
    x = 30,064.74/151.43
  6. Step 6: Final answer
    x = 198.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.