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Finding the Fourth Proportional to 416.56, 624.49 and 279.19

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Solution

The fourth proportional to 416.56, 624.49 and 279.19 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 624.49 = 279.19 : x
  2. Step 2: Convert to fraction form
    416.56/624.49 = 279.19/x
  3. Step 3: Cross multiply
    416.56x = 624.49 × 279.19
  4. Step 4: Simplify right side
    416.56x = 174,351.36
  5. Step 5: Solve for x
    x = 174,351.36/416.56
  6. Step 6: Final answer
    x = 418.55

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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.