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Finding the Fourth Proportional to 418.44, 578.16 and 331.86

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Solution

The fourth proportional to 418.44, 578.16 and 331.86 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.44 : 578.16 = 331.86 : x
  2. Step 2: Convert to fraction form
    418.44/578.16 = 331.86/x
  3. Step 3: Cross multiply
    418.44x = 578.16 × 331.86
  4. Step 4: Simplify right side
    418.44x = 191,868.18
  5. Step 5: Solve for x
    x = 191,868.18/418.44
  6. Step 6: Final answer
    x = 458.53

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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.