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Finding the Fourth Proportional to 353.86, 488.28 and 196.46

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Solution

The fourth proportional to 353.86, 488.28 and 196.46 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.86 : 488.28 = 196.46 : x
  2. Step 2: Convert to fraction form
    353.86/488.28 = 196.46/x
  3. Step 3: Cross multiply
    353.86x = 488.28 × 196.46
  4. Step 4: Simplify right side
    353.86x = 95,928.71
  5. Step 5: Solve for x
    x = 95,928.71/353.86
  6. Step 6: Final answer
    x = 271.09

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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.