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Finding the Fourth Proportional to 416.05, 623.73 and 210.76

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Solution

The fourth proportional to 416.05, 623.73 and 210.76 is: 315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 623.73 = 210.76 : x
  2. Step 2: Convert to fraction form
    416.05/623.73 = 210.76/x
  3. Step 3: Cross multiply
    416.05x = 623.73 × 210.76
  4. Step 4: Simplify right side
    416.05x = 131,456.57
  5. Step 5: Solve for x
    x = 131,456.57/416.05
  6. Step 6: Final answer
    x = 315.97

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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.