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Finding the Fourth Proportional to 195.13, 269.30 and 137.03

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Solution

The fourth proportional to 195.13, 269.30 and 137.03 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.13 : 269.30 = 137.03 : x
  2. Step 2: Convert to fraction form
    195.13/269.30 = 137.03/x
  3. Step 3: Cross multiply
    195.13x = 269.30 × 137.03
  4. Step 4: Simplify right side
    195.13x = 36,902.18
  5. Step 5: Solve for x
    x = 36,902.18/195.13
  6. Step 6: Final answer
    x = 189.12

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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.