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Finding the Fourth Proportional to 347.76, 522.20 and 331.80

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Solution

The fourth proportional to 347.76, 522.20 and 331.80 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 522.20 = 331.80 : x
  2. Step 2: Convert to fraction form
    347.76/522.20 = 331.80/x
  3. Step 3: Cross multiply
    347.76x = 522.20 × 331.80
  4. Step 4: Simplify right side
    347.76x = 173,265.96
  5. Step 5: Solve for x
    x = 173,265.96/347.76
  6. Step 6: Final answer
    x = 498.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.