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Finding the Fourth Proportional to 417.38, 626.34 and 200.97

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Solution

The fourth proportional to 417.38, 626.34 and 200.97 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.38 : 626.34 = 200.97 : x
  2. Step 2: Convert to fraction form
    417.38/626.34 = 200.97/x
  3. Step 3: Cross multiply
    417.38x = 626.34 × 200.97
  4. Step 4: Simplify right side
    417.38x = 125,875.55
  5. Step 5: Solve for x
    x = 125,875.55/417.38
  6. Step 6: Final answer
    x = 301.59

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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.