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Finding the Fourth Proportional to 416.78, 625.31 and 185.83

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Solution

The fourth proportional to 416.78, 625.31 and 185.83 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 625.31 = 185.83 : x
  2. Step 2: Convert to fraction form
    416.78/625.31 = 185.83/x
  3. Step 3: Cross multiply
    416.78x = 625.31 × 185.83
  4. Step 4: Simplify right side
    416.78x = 116,198.86
  5. Step 5: Solve for x
    x = 116,198.86/416.78
  6. Step 6: Final answer
    x = 278.80

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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.