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Finding the Fourth Proportional to 353.79, 488.30 and 198.54

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Solution

The fourth proportional to 353.79, 488.30 and 198.54 is: 274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.79 : 488.30 = 198.54 : x
  2. Step 2: Convert to fraction form
    353.79/488.30 = 198.54/x
  3. Step 3: Cross multiply
    353.79x = 488.30 × 198.54
  4. Step 4: Simplify right side
    353.79x = 96,946.09
  5. Step 5: Solve for x
    x = 96,946.09/353.79
  6. Step 6: Final answer
    x = 274.02

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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.