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Finding the Fourth Proportional to 207.44, 287.40 and 202.43

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Solution

The fourth proportional to 207.44, 287.40 and 202.43 is: 280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.44 : 287.40 = 202.43 : x
  2. Step 2: Convert to fraction form
    207.44/287.40 = 202.43/x
  3. Step 3: Cross multiply
    207.44x = 287.40 × 202.43
  4. Step 4: Simplify right side
    207.44x = 58,178.38
  5. Step 5: Solve for x
    x = 58,178.38/207.44
  6. Step 6: Final answer
    x = 280.46

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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.