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Finding the Fourth Proportional to 488.40, 674.27 and 331.88

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Solution

The fourth proportional to 488.40, 674.27 and 331.88 is: 458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 674.27 = 331.88 : x
  2. Step 2: Convert to fraction form
    488.40/674.27 = 331.88/x
  3. Step 3: Cross multiply
    488.40x = 674.27 × 331.88
  4. Step 4: Simplify right side
    488.40x = 223,771.70
  5. Step 5: Solve for x
    x = 223,771.70/488.40
  6. Step 6: Final answer
    x = 458.17

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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.