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Finding the Fourth Proportional to 352.10, 528.17 and 105.31

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Solution

The fourth proportional to 352.10, 528.17 and 105.31 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.10 : 528.17 = 105.31 : x
  2. Step 2: Convert to fraction form
    352.10/528.17 = 105.31/x
  3. Step 3: Cross multiply
    352.10x = 528.17 × 105.31
  4. Step 4: Simplify right side
    352.10x = 55,621.58
  5. Step 5: Solve for x
    x = 55,621.58/352.10
  6. Step 6: Final answer
    x = 157.97

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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.