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Finding the Fourth Proportional to 417.65, 626.39 and 201.11

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Solution

The fourth proportional to 417.65, 626.39 and 201.11 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 626.39 = 201.11 : x
  2. Step 2: Convert to fraction form
    417.65/626.39 = 201.11/x
  3. Step 3: Cross multiply
    417.65x = 626.39 × 201.11
  4. Step 4: Simplify right side
    417.65x = 125,972.29
  5. Step 5: Solve for x
    x = 125,972.29/417.65
  6. Step 6: Final answer
    x = 301.62

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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.