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Finding the Fourth Proportional to 427.59, 641.37 and 119.43

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Solution

The fourth proportional to 427.59, 641.37 and 119.43 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.59 : 641.37 = 119.43 : x
  2. Step 2: Convert to fraction form
    427.59/641.37 = 119.43/x
  3. Step 3: Cross multiply
    427.59x = 641.37 × 119.43
  4. Step 4: Simplify right side
    427.59x = 76,595.02
  5. Step 5: Solve for x
    x = 76,595.02/427.59
  6. Step 6: Final answer
    x = 179.13

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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.