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Finding the Fourth Proportional to 296.51, 408.54 and 198.10

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Solution

The fourth proportional to 296.51, 408.54 and 198.10 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.51 : 408.54 = 198.10 : x
  2. Step 2: Convert to fraction form
    296.51/408.54 = 198.10/x
  3. Step 3: Cross multiply
    296.51x = 408.54 × 198.10
  4. Step 4: Simplify right side
    296.51x = 80,930.75
  5. Step 5: Solve for x
    x = 80,930.75/296.51
  6. Step 6: Final answer
    x = 272.94

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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.