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Finding the Fourth Proportional to 200.73, 298.70 and 200.05

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Solution

The fourth proportional to 200.73, 298.70 and 200.05 is: 297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 298.70 = 200.05 : x
  2. Step 2: Convert to fraction form
    200.73/298.70 = 200.05/x
  3. Step 3: Cross multiply
    200.73x = 298.70 × 200.05
  4. Step 4: Simplify right side
    200.73x = 59,754.94
  5. Step 5: Solve for x
    x = 59,754.94/200.73
  6. Step 6: Final answer
    x = 297.69

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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.