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Finding the Fourth Proportional to 207.40, 287.56 and 196.46

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Solution

The fourth proportional to 207.40, 287.56 and 196.46 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 287.56 = 196.46 : x
  2. Step 2: Convert to fraction form
    207.40/287.56 = 196.46/x
  3. Step 3: Cross multiply
    207.40x = 287.56 × 196.46
  4. Step 4: Simplify right side
    207.40x = 56,494.04
  5. Step 5: Solve for x
    x = 56,494.04/207.40
  6. Step 6: Final answer
    x = 272.39

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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.