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Finding the Fourth Proportional to 200.80, 281.30 and 200.80

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Solution

The fourth proportional to 200.80, 281.30 and 200.80 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 281.30 = 200.80 : x
  2. Step 2: Convert to fraction form
    200.80/281.30 = 200.80/x
  3. Step 3: Cross multiply
    200.80x = 281.30 × 200.80
  4. Step 4: Simplify right side
    200.80x = 56,485.04
  5. Step 5: Solve for x
    x = 56,485.04/200.80
  6. Step 6: Final answer
    x = 281.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.