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Finding the Fourth Proportional to 200.67, 298.76 and 198.24

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Solution

The fourth proportional to 200.67, 298.76 and 198.24 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 298.76 = 198.24 : x
  2. Step 2: Convert to fraction form
    200.67/298.76 = 198.24/x
  3. Step 3: Cross multiply
    200.67x = 298.76 × 198.24
  4. Step 4: Simplify right side
    200.67x = 59,226.18
  5. Step 5: Solve for x
    x = 59,226.18/200.67
  6. Step 6: Final answer
    x = 295.14

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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.