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Finding the Fourth Proportional to 207.58, 287.83 and 200.66

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Solution

The fourth proportional to 207.58, 287.83 and 200.66 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.58 : 287.83 = 200.66 : x
  2. Step 2: Convert to fraction form
    207.58/287.83 = 200.66/x
  3. Step 3: Cross multiply
    207.58x = 287.83 × 200.66
  4. Step 4: Simplify right side
    207.58x = 57,754.03
  5. Step 5: Solve for x
    x = 57,754.03/207.58
  6. Step 6: Final answer
    x = 278.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.