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Finding the Fourth Proportional to 198.64, 296.26 and 195.40

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Solution

The fourth proportional to 198.64, 296.26 and 195.40 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 296.26 = 195.40 : x
  2. Step 2: Convert to fraction form
    198.64/296.26 = 195.40/x
  3. Step 3: Cross multiply
    198.64x = 296.26 × 195.40
  4. Step 4: Simplify right side
    198.64x = 57,889.20
  5. Step 5: Solve for x
    x = 57,889.20/198.64
  6. Step 6: Final answer
    x = 291.43

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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.