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Finding the Fourth Proportional to 352.52, 486.46 and 197.28

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Solution

The fourth proportional to 352.52, 486.46 and 197.28 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.52 : 486.46 = 197.28 : x
  2. Step 2: Convert to fraction form
    352.52/486.46 = 197.28/x
  3. Step 3: Cross multiply
    352.52x = 486.46 × 197.28
  4. Step 4: Simplify right side
    352.52x = 95,968.83
  5. Step 5: Solve for x
    x = 95,968.83/352.52
  6. Step 6: Final answer
    x = 272.24

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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.