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Finding the Fourth Proportional to 207.59, 309.22 and 198.23

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Solution

The fourth proportional to 207.59, 309.22 and 198.23 is: 295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.59 : 309.22 = 198.23 : x
  2. Step 2: Convert to fraction form
    207.59/309.22 = 198.23/x
  3. Step 3: Cross multiply
    207.59x = 309.22 × 198.23
  4. Step 4: Simplify right side
    207.59x = 61,296.68
  5. Step 5: Solve for x
    x = 61,296.68/207.59
  6. Step 6: Final answer
    x = 295.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.