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Finding the Fourth Proportional to 352.38, 528.57 and 121.43

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Solution

The fourth proportional to 352.38, 528.57 and 121.43 is: 182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.38 : 528.57 = 121.43 : x
  2. Step 2: Convert to fraction form
    352.38/528.57 = 121.43/x
  3. Step 3: Cross multiply
    352.38x = 528.57 × 121.43
  4. Step 4: Simplify right side
    352.38x = 64,185.58
  5. Step 5: Solve for x
    x = 64,185.58/352.38
  6. Step 6: Final answer
    x = 182.15

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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.