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Finding the Fourth Proportional to 208.80, 287.60 and 200.56

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Solution

The fourth proportional to 208.80, 287.60 and 200.56 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 287.60 = 200.56 : x
  2. Step 2: Convert to fraction form
    208.80/287.60 = 200.56/x
  3. Step 3: Cross multiply
    208.80x = 287.60 × 200.56
  4. Step 4: Simplify right side
    208.80x = 57,681.06
  5. Step 5: Solve for x
    x = 57,681.06/208.80
  6. Step 6: Final answer
    x = 276.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.