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Finding the Fourth Proportional to 207.80, 309.27 and 198.20

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Solution

The fourth proportional to 207.80, 309.27 and 198.20 is: 294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 309.27 = 198.20 : x
  2. Step 2: Convert to fraction form
    207.80/309.27 = 198.20/x
  3. Step 3: Cross multiply
    207.80x = 309.27 × 198.20
  4. Step 4: Simplify right side
    207.80x = 61,297.31
  5. Step 5: Solve for x
    x = 61,297.31/207.80
  6. Step 6: Final answer
    x = 294.98

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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.