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Finding the Fourth Proportional to 418.91, 578.12 and 232.44

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Solution

The fourth proportional to 418.91, 578.12 and 232.44 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 578.12 = 232.44 : x
  2. Step 2: Convert to fraction form
    418.91/578.12 = 232.44/x
  3. Step 3: Cross multiply
    418.91x = 578.12 × 232.44
  4. Step 4: Simplify right side
    418.91x = 134,374.88
  5. Step 5: Solve for x
    x = 134,374.88/418.91
  6. Step 6: Final answer
    x = 320.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.