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Finding the Fourth Proportional to 352.70, 529.17 and 190.70

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Solution

The fourth proportional to 352.70, 529.17 and 190.70 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.70 : 529.17 = 190.70 : x
  2. Step 2: Convert to fraction form
    352.70/529.17 = 190.70/x
  3. Step 3: Cross multiply
    352.70x = 529.17 × 190.70
  4. Step 4: Simplify right side
    352.70x = 100,912.72
  5. Step 5: Solve for x
    x = 100,912.72/352.70
  6. Step 6: Final answer
    x = 286.11

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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.