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Finding the Fourth Proportional to 418.17, 626.91 and 198.69

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Solution

The fourth proportional to 418.17, 626.91 and 198.69 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.17 : 626.91 = 198.69 : x
  2. Step 2: Convert to fraction form
    418.17/626.91 = 198.69/x
  3. Step 3: Cross multiply
    418.17x = 626.91 × 198.69
  4. Step 4: Simplify right side
    418.17x = 124,557.65
  5. Step 5: Solve for x
    x = 124,557.65/418.17
  6. Step 6: Final answer
    x = 297.86

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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.