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Finding the Fourth Proportional to 352.64, 528.10 and 249.43

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Solution

The fourth proportional to 352.64, 528.10 and 249.43 is: 373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 528.10 = 249.43 : x
  2. Step 2: Convert to fraction form
    352.64/528.10 = 249.43/x
  3. Step 3: Cross multiply
    352.64x = 528.10 × 249.43
  4. Step 4: Simplify right side
    352.64x = 131,723.98
  5. Step 5: Solve for x
    x = 131,723.98/352.64
  6. Step 6: Final answer
    x = 373.54

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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.