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Finding the Fourth Proportional to 418.86, 628.31 and 141.22

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Solution

The fourth proportional to 418.86, 628.31 and 141.22 is: 211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 628.31 = 141.22 : x
  2. Step 2: Convert to fraction form
    418.86/628.31 = 141.22/x
  3. Step 3: Cross multiply
    418.86x = 628.31 × 141.22
  4. Step 4: Simplify right side
    418.86x = 88,728.52
  5. Step 5: Solve for x
    x = 88,728.52/418.86
  6. Step 6: Final answer
    x = 211.83

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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.