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Finding the Fourth Proportional to 206.26, 307.40 and 197.22

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Solution

The fourth proportional to 206.26, 307.40 and 197.22 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 307.40 = 197.22 : x
  2. Step 2: Convert to fraction form
    206.26/307.40 = 197.22/x
  3. Step 3: Cross multiply
    206.26x = 307.40 × 197.22
  4. Step 4: Simplify right side
    206.26x = 60,625.43
  5. Step 5: Solve for x
    x = 60,625.43/206.26
  6. Step 6: Final answer
    x = 293.93

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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.