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Finding the Fourth Proportional to 352.58, 528.87 and 205.97

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Solution

The fourth proportional to 352.58, 528.87 and 205.97 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.58 : 528.87 = 205.97 : x
  2. Step 2: Convert to fraction form
    352.58/528.87 = 205.97/x
  3. Step 3: Cross multiply
    352.58x = 528.87 × 205.97
  4. Step 4: Simplify right side
    352.58x = 108,931.35
  5. Step 5: Solve for x
    x = 108,931.35/352.58
  6. Step 6: Final answer
    x = 308.96

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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.