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Finding the Fourth Proportional to 140.06, 208.83 and 137.63

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Solution

The fourth proportional to 140.06, 208.83 and 137.63 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 208.83 = 137.63 : x
  2. Step 2: Convert to fraction form
    140.06/208.83 = 137.63/x
  3. Step 3: Cross multiply
    140.06x = 208.83 × 137.63
  4. Step 4: Simplify right side
    140.06x = 28,741.27
  5. Step 5: Solve for x
    x = 28,741.27/140.06
  6. Step 6: Final answer
    x = 205.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.