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Finding the Fourth Proportional to 139.63, 208.26 and 137.20

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Solution

The fourth proportional to 139.63, 208.26 and 137.20 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.63 : 208.26 = 137.20 : x
  2. Step 2: Convert to fraction form
    139.63/208.26 = 137.20/x
  3. Step 3: Cross multiply
    139.63x = 208.26 × 137.20
  4. Step 4: Simplify right side
    139.63x = 28,573.27
  5. Step 5: Solve for x
    x = 28,573.27/139.63
  6. Step 6: Final answer
    x = 204.64

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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.