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Finding the Fourth Proportional to 352.64, 486.64 and 197.40

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Solution

The fourth proportional to 352.64, 486.64 and 197.40 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.64 : 486.64 = 197.40 : x
  2. Step 2: Convert to fraction form
    352.64/486.64 = 197.40/x
  3. Step 3: Cross multiply
    352.64x = 486.64 × 197.40
  4. Step 4: Simplify right side
    352.64x = 96,062.74
  5. Step 5: Solve for x
    x = 96,062.74/352.64
  6. Step 6: Final answer
    x = 272.41

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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.