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Finding the Fourth Proportional to 354.15, 488.72 and 196.78

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Solution

The fourth proportional to 354.15, 488.72 and 196.78 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.15 : 488.72 = 196.78 : x
  2. Step 2: Convert to fraction form
    354.15/488.72 = 196.78/x
  3. Step 3: Cross multiply
    354.15x = 488.72 × 196.78
  4. Step 4: Simplify right side
    354.15x = 96,170.32
  5. Step 5: Solve for x
    x = 96,170.32/354.15
  6. Step 6: Final answer
    x = 271.55

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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.