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Finding the Fourth Proportional to 352.38, 528.19 and 348.54

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Solution

The fourth proportional to 352.38, 528.19 and 348.54 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.38 : 528.19 = 348.54 : x
  2. Step 2: Convert to fraction form
    352.38/528.19 = 348.54/x
  3. Step 3: Cross multiply
    352.38x = 528.19 × 348.54
  4. Step 4: Simplify right side
    352.38x = 184,092.49
  5. Step 5: Solve for x
    x = 184,092.49/352.38
  6. Step 6: Final answer
    x = 522.42

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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.