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Finding the Fourth Proportional to 275.70, 411.98 and 198.30

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Solution

The fourth proportional to 275.70, 411.98 and 198.30 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 411.98 = 198.30 : x
  2. Step 2: Convert to fraction form
    275.70/411.98 = 198.30/x
  3. Step 3: Cross multiply
    275.70x = 411.98 × 198.30
  4. Step 4: Simplify right side
    275.70x = 81,694.64
  5. Step 5: Solve for x
    x = 81,694.64/275.70
  6. Step 6: Final answer
    x = 296.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.