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Finding the Fourth Proportional to 197.82, 295.69 and 139.65

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Solution

The fourth proportional to 197.82, 295.69 and 139.65 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 295.69 = 139.65 : x
  2. Step 2: Convert to fraction form
    197.82/295.69 = 139.65/x
  3. Step 3: Cross multiply
    197.82x = 295.69 × 139.65
  4. Step 4: Simplify right side
    197.82x = 41,292.76
  5. Step 5: Solve for x
    x = 41,292.76/197.82
  6. Step 6: Final answer
    x = 208.74

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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.