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Finding the Fourth Proportional to 195.55, 269.91 and 116.88

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Solution

The fourth proportional to 195.55, 269.91 and 116.88 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.55 : 269.91 = 116.88 : x
  2. Step 2: Convert to fraction form
    195.55/269.91 = 116.88/x
  3. Step 3: Cross multiply
    195.55x = 269.91 × 116.88
  4. Step 4: Simplify right side
    195.55x = 31,547.08
  5. Step 5: Solve for x
    x = 31,547.08/195.55
  6. Step 6: Final answer
    x = 161.32

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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.