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Finding the Fourth Proportional to 352.80, 531.60 and 331.20

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Solution

The fourth proportional to 352.80, 531.60 and 331.20 is: 499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 531.60 = 331.20 : x
  2. Step 2: Convert to fraction form
    352.80/531.60 = 331.20/x
  3. Step 3: Cross multiply
    352.80x = 531.60 × 331.20
  4. Step 4: Simplify right side
    352.80x = 176,065.92
  5. Step 5: Solve for x
    x = 176,065.92/352.80
  6. Step 6: Final answer
    x = 499.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.