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Finding the Fourth Proportional to 352.38, 528.42 and 121.21

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Solution

The fourth proportional to 352.38, 528.42 and 121.21 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.38 : 528.42 = 121.21 : x
  2. Step 2: Convert to fraction form
    352.38/528.42 = 121.21/x
  3. Step 3: Cross multiply
    352.38x = 528.42 × 121.21
  4. Step 4: Simplify right side
    352.38x = 64,049.79
  5. Step 5: Solve for x
    x = 64,049.79/352.38
  6. Step 6: Final answer
    x = 181.76

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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.