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Finding the Fourth Proportional to 195.75, 291.90 and 191.09

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Solution

The fourth proportional to 195.75, 291.90 and 191.09 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 291.90 = 191.09 : x
  2. Step 2: Convert to fraction form
    195.75/291.90 = 191.09/x
  3. Step 3: Cross multiply
    195.75x = 291.90 × 191.09
  4. Step 4: Simplify right side
    195.75x = 55,779.17
  5. Step 5: Solve for x
    x = 55,779.17/195.75
  6. Step 6: Final answer
    x = 284.95

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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.