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Finding the Fourth Proportional to 195.05, 269.16 and 112.15

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Solution

The fourth proportional to 195.05, 269.16 and 112.15 is: 154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 269.16 = 112.15 : x
  2. Step 2: Convert to fraction form
    195.05/269.16 = 112.15/x
  3. Step 3: Cross multiply
    195.05x = 269.16 × 112.15
  4. Step 4: Simplify right side
    195.05x = 30,186.29
  5. Step 5: Solve for x
    x = 30,186.29/195.05
  6. Step 6: Final answer
    x = 154.77

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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.