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Finding the Fourth Proportional to 139.64, 209.46 and 137.93

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Solution

The fourth proportional to 139.64, 209.46 and 137.93 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 209.46 = 137.93 : x
  2. Step 2: Convert to fraction form
    139.64/209.46 = 137.93/x
  3. Step 3: Cross multiply
    139.64x = 209.46 × 137.93
  4. Step 4: Simplify right side
    139.64x = 28,890.82
  5. Step 5: Solve for x
    x = 28,890.82/139.64
  6. Step 6: Final answer
    x = 206.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.