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Finding the Fourth Proportional to 197.31, 295.45 and 139.22

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Solution

The fourth proportional to 197.31, 295.45 and 139.22 is: 208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 295.45 = 139.22 : x
  2. Step 2: Convert to fraction form
    197.31/295.45 = 139.22/x
  3. Step 3: Cross multiply
    197.31x = 295.45 × 139.22
  4. Step 4: Simplify right side
    197.31x = 41,131.83
  5. Step 5: Solve for x
    x = 41,131.83/197.31
  6. Step 6: Final answer
    x = 208.46

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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.