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Finding the Fourth Proportional to 416.78, 624.79 and 211.24

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Solution

The fourth proportional to 416.78, 624.79 and 211.24 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 624.79 = 211.24 : x
  2. Step 2: Convert to fraction form
    416.78/624.79 = 211.24/x
  3. Step 3: Cross multiply
    416.78x = 624.79 × 211.24
  4. Step 4: Simplify right side
    416.78x = 131,976.46
  5. Step 5: Solve for x
    x = 131,976.46/416.78
  6. Step 6: Final answer
    x = 316.66

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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.