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Finding the Fourth Proportional to 416.97, 625.59 and 200.57

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Solution

The fourth proportional to 416.97, 625.59 and 200.57 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.97 : 625.59 = 200.57 : x
  2. Step 2: Convert to fraction form
    416.97/625.59 = 200.57/x
  3. Step 3: Cross multiply
    416.97x = 625.59 × 200.57
  4. Step 4: Simplify right side
    416.97x = 125,471.46
  5. Step 5: Solve for x
    x = 125,471.46/416.97
  6. Step 6: Final answer
    x = 300.91

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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.