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Finding the Fourth Proportional to 195.68, 291.50 and 189.14

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Solution

The fourth proportional to 195.68, 291.50 and 189.14 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 291.50 = 189.14 : x
  2. Step 2: Convert to fraction form
    195.68/291.50 = 189.14/x
  3. Step 3: Cross multiply
    195.68x = 291.50 × 189.14
  4. Step 4: Simplify right side
    195.68x = 55,132.62
  5. Step 5: Solve for x
    x = 55,132.62/195.68
  6. Step 6: Final answer
    x = 281.75

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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.