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Finding the Fourth Proportional to 418.60, 577 and 331.12

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Solution

The fourth proportional to 418.60, 577 and 331.12 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 577 = 331.12 : x
  2. Step 2: Convert to fraction form
    418.60/577 = 331.12/x
  3. Step 3: Cross multiply
    418.60x = 577 × 331.12
  4. Step 4: Simplify right side
    418.60x = 191,056.24
  5. Step 5: Solve for x
    x = 191,056.24/418.60
  6. Step 6: Final answer
    x = 456.42

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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.