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Finding the Fourth Proportional to 282.36, 422.07 and 200.76

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Solution

The fourth proportional to 282.36, 422.07 and 200.76 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 422.07 = 200.76 : x
  2. Step 2: Convert to fraction form
    282.36/422.07 = 200.76/x
  3. Step 3: Cross multiply
    282.36x = 422.07 × 200.76
  4. Step 4: Simplify right side
    282.36x = 84,734.77
  5. Step 5: Solve for x
    x = 84,734.77/282.36
  6. Step 6: Final answer
    x = 300.09

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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.