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Finding the Fourth Proportional to 354.23, 488.84 and 196.87

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Solution

The fourth proportional to 354.23, 488.84 and 196.87 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 488.84 = 196.87 : x
  2. Step 2: Convert to fraction form
    354.23/488.84 = 196.87/x
  3. Step 3: Cross multiply
    354.23x = 488.84 × 196.87
  4. Step 4: Simplify right side
    354.23x = 96,235.49
  5. Step 5: Solve for x
    x = 96,235.49/354.23
  6. Step 6: Final answer
    x = 271.68

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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.