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Finding the Fourth Proportional to 354.31, 488.93 and 196.92

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Solution

The fourth proportional to 354.31, 488.93 and 196.92 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.31 : 488.93 = 196.92 : x
  2. Step 2: Convert to fraction form
    354.31/488.93 = 196.92/x
  3. Step 3: Cross multiply
    354.31x = 488.93 × 196.92
  4. Step 4: Simplify right side
    354.31x = 96,279.11
  5. Step 5: Solve for x
    x = 96,279.11/354.31
  6. Step 6: Final answer
    x = 271.74

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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.