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Finding the Fourth Proportional to 195.55, 269.87 and 116.91

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Solution

The fourth proportional to 195.55, 269.87 and 116.91 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.55 : 269.87 = 116.91 : x
  2. Step 2: Convert to fraction form
    195.55/269.87 = 116.91/x
  3. Step 3: Cross multiply
    195.55x = 269.87 × 116.91
  4. Step 4: Simplify right side
    195.55x = 31,549.92
  5. Step 5: Solve for x
    x = 31,549.92/195.55
  6. Step 6: Final answer
    x = 161.34

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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.