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Finding the Fourth Proportional to 352.62, 529.01 and 109.14

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Solution

The fourth proportional to 352.62, 529.01 and 109.14 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.62 : 529.01 = 109.14 : x
  2. Step 2: Convert to fraction form
    352.62/529.01 = 109.14/x
  3. Step 3: Cross multiply
    352.62x = 529.01 × 109.14
  4. Step 4: Simplify right side
    352.62x = 57,736.15
  5. Step 5: Solve for x
    x = 57,736.15/352.62
  6. Step 6: Final answer
    x = 163.73

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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.