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Finding the Fourth Proportional to 141.41, 209.62 and 139.23

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Solution

The fourth proportional to 141.41, 209.62 and 139.23 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.41 : 209.62 = 139.23 : x
  2. Step 2: Convert to fraction form
    141.41/209.62 = 139.23/x
  3. Step 3: Cross multiply
    141.41x = 209.62 × 139.23
  4. Step 4: Simplify right side
    141.41x = 29,185.39
  5. Step 5: Solve for x
    x = 29,185.39/141.41
  6. Step 6: Final answer
    x = 206.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.