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Finding the Fourth Proportional to 352.89, 529.20 and 229.41

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Solution

The fourth proportional to 352.89, 529.20 and 229.41 is: 344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.89 : 529.20 = 229.41 : x
  2. Step 2: Convert to fraction form
    352.89/529.20 = 229.41/x
  3. Step 3: Cross multiply
    352.89x = 529.20 × 229.41
  4. Step 4: Simplify right side
    352.89x = 121,403.77
  5. Step 5: Solve for x
    x = 121,403.77/352.89
  6. Step 6: Final answer
    x = 344.03

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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.