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Finding the Fourth Proportional to 200.41, 298.86 and 198.59

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Solution

The fourth proportional to 200.41, 298.86 and 198.59 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 298.86 = 198.59 : x
  2. Step 2: Convert to fraction form
    200.41/298.86 = 198.59/x
  3. Step 3: Cross multiply
    200.41x = 298.86 × 198.59
  4. Step 4: Simplify right side
    200.41x = 59,349.11
  5. Step 5: Solve for x
    x = 59,349.11/200.41
  6. Step 6: Final answer
    x = 296.14

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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.