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Finding the Fourth Proportional to 418.75, 628.26 and 187.83

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Solution

The fourth proportional to 418.75, 628.26 and 187.83 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.75 : 628.26 = 187.83 : x
  2. Step 2: Convert to fraction form
    418.75/628.26 = 187.83/x
  3. Step 3: Cross multiply
    418.75x = 628.26 × 187.83
  4. Step 4: Simplify right side
    418.75x = 118,006.08
  5. Step 5: Solve for x
    x = 118,006.08/418.75
  6. Step 6: Final answer
    x = 281.81

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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.