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Finding the Fourth Proportional to 195.21, 269.37 and 137.07

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Solution

The fourth proportional to 195.21, 269.37 and 137.07 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 269.37 = 137.07 : x
  2. Step 2: Convert to fraction form
    195.21/269.37 = 137.07/x
  3. Step 3: Cross multiply
    195.21x = 269.37 × 137.07
  4. Step 4: Simplify right side
    195.21x = 36,922.55
  5. Step 5: Solve for x
    x = 36,922.55/195.21
  6. Step 6: Final answer
    x = 189.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.