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Finding the Fourth Proportional to 195.67, 292.27 and 194.75

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Solution

The fourth proportional to 195.67, 292.27 and 194.75 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 292.27 = 194.75 : x
  2. Step 2: Convert to fraction form
    195.67/292.27 = 194.75/x
  3. Step 3: Cross multiply
    195.67x = 292.27 × 194.75
  4. Step 4: Simplify right side
    195.67x = 56,921.01
  5. Step 5: Solve for x
    x = 56,921.01/195.67
  6. Step 6: Final answer
    x = 290.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.