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Finding the Fourth Proportional to 195.09, 291.94 and 143.61

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Solution

The fourth proportional to 195.09, 291.94 and 143.61 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 291.94 = 143.61 : x
  2. Step 2: Convert to fraction form
    195.09/291.94 = 143.61/x
  3. Step 3: Cross multiply
    195.09x = 291.94 × 143.61
  4. Step 4: Simplify right side
    195.09x = 41,924.05
  5. Step 5: Solve for x
    x = 41,924.05/195.09
  6. Step 6: Final answer
    x = 214.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.