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Finding the Fourth Proportional to 352.62, 486.57 and 197.37

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Solution

The fourth proportional to 352.62, 486.57 and 197.37 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.62 : 486.57 = 197.37 : x
  2. Step 2: Convert to fraction form
    352.62/486.57 = 197.37/x
  3. Step 3: Cross multiply
    352.62x = 486.57 × 197.37
  4. Step 4: Simplify right side
    352.62x = 96,034.32
  5. Step 5: Solve for x
    x = 96,034.32/352.62
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.