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Finding the Fourth Proportional to 417.37, 626.09 and 200.95

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Solution

The fourth proportional to 417.37, 626.09 and 200.95 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.37 : 626.09 = 200.95 : x
  2. Step 2: Convert to fraction form
    417.37/626.09 = 200.95/x
  3. Step 3: Cross multiply
    417.37x = 626.09 × 200.95
  4. Step 4: Simplify right side
    417.37x = 125,812.79
  5. Step 5: Solve for x
    x = 125,812.79/417.37
  6. Step 6: Final answer
    x = 301.44

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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.