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Finding the Fourth Proportional to 140.41, 208.14 and 138.23

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Solution

The fourth proportional to 140.41, 208.14 and 138.23 is: 204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.41 : 208.14 = 138.23 : x
  2. Step 2: Convert to fraction form
    140.41/208.14 = 138.23/x
  3. Step 3: Cross multiply
    140.41x = 208.14 × 138.23
  4. Step 4: Simplify right side
    140.41x = 28,771.58
  5. Step 5: Solve for x
    x = 28,771.58/140.41
  6. Step 6: Final answer
    x = 204.91

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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.