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Finding the Fourth Proportional to 200.22, 298.58 and 198.40

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Solution

The fourth proportional to 200.22, 298.58 and 198.40 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 298.58 = 198.40 : x
  2. Step 2: Convert to fraction form
    200.22/298.58 = 198.40/x
  3. Step 3: Cross multiply
    200.22x = 298.58 × 198.40
  4. Step 4: Simplify right side
    200.22x = 59,237.28
  5. Step 5: Solve for x
    x = 59,237.28/200.22
  6. Step 6: Final answer
    x = 295.86

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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.