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Finding the Fourth Proportional to 418.68, 574.44 and 381.66

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Solution

The fourth proportional to 418.68, 574.44 and 381.66 is: 523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.68 : 574.44 = 381.66 : x
  2. Step 2: Convert to fraction form
    418.68/574.44 = 381.66/x
  3. Step 3: Cross multiply
    418.68x = 574.44 × 381.66
  4. Step 4: Simplify right side
    418.68x = 219,240.77
  5. Step 5: Solve for x
    x = 219,240.77/418.68
  6. Step 6: Final answer
    x = 523.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.