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Finding the Fourth Proportional to 151.41, 209.94 and 143.21

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Solution

The fourth proportional to 151.41, 209.94 and 143.21 is: 198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.41 : 209.94 = 143.21 : x
  2. Step 2: Convert to fraction form
    151.41/209.94 = 143.21/x
  3. Step 3: Cross multiply
    151.41x = 209.94 × 143.21
  4. Step 4: Simplify right side
    151.41x = 30,065.50
  5. Step 5: Solve for x
    x = 30,065.50/151.41
  6. Step 6: Final answer
    x = 198.57

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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.