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Finding the Fourth Proportional to 200.61, 299.04 and 198.45

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Solution

The fourth proportional to 200.61, 299.04 and 198.45 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.61 : 299.04 = 198.45 : x
  2. Step 2: Convert to fraction form
    200.61/299.04 = 198.45/x
  3. Step 3: Cross multiply
    200.61x = 299.04 × 198.45
  4. Step 4: Simplify right side
    200.61x = 59,342.00
  5. Step 5: Solve for x
    x = 59,342.00/200.61
  6. Step 6: Final answer
    x = 295.82

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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.