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Finding the Fourth Proportional to 195.34, 269.66 and 116.69

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Solution

The fourth proportional to 195.34, 269.66 and 116.69 is: 161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.34 : 269.66 = 116.69 : x
  2. Step 2: Convert to fraction form
    195.34/269.66 = 116.69/x
  3. Step 3: Cross multiply
    195.34x = 269.66 × 116.69
  4. Step 4: Simplify right side
    195.34x = 31,466.63
  5. Step 5: Solve for x
    x = 31,466.63/195.34
  6. Step 6: Final answer
    x = 161.09

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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.