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Finding the Fourth Proportional to 416.73, 624.81 and 200.07

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Solution

The fourth proportional to 416.73, 624.81 and 200.07 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 624.81 = 200.07 : x
  2. Step 2: Convert to fraction form
    416.73/624.81 = 200.07/x
  3. Step 3: Cross multiply
    416.73x = 624.81 × 200.07
  4. Step 4: Simplify right side
    416.73x = 125,005.74
  5. Step 5: Solve for x
    x = 125,005.74/416.73
  6. Step 6: Final answer
    x = 299.97

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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.