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Finding the Fourth Proportional to 206.59, 307.73 and 197.23

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Solution

The fourth proportional to 206.59, 307.73 and 197.23 is: 293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.59 : 307.73 = 197.23 : x
  2. Step 2: Convert to fraction form
    206.59/307.73 = 197.23/x
  3. Step 3: Cross multiply
    206.59x = 307.73 × 197.23
  4. Step 4: Simplify right side
    206.59x = 60,693.59
  5. Step 5: Solve for x
    x = 60,693.59/206.59
  6. Step 6: Final answer
    x = 293.79

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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.