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Finding the Fourth Proportional to 200.47, 298.52 and 198.04

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Solution

The fourth proportional to 200.47, 298.52 and 198.04 is: 294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.47 : 298.52 = 198.04 : x
  2. Step 2: Convert to fraction form
    200.47/298.52 = 198.04/x
  3. Step 3: Cross multiply
    200.47x = 298.52 × 198.04
  4. Step 4: Simplify right side
    200.47x = 59,118.90
  5. Step 5: Solve for x
    x = 59,118.90/200.47
  6. Step 6: Final answer
    x = 294.90

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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.