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Finding the Fourth Proportional to 207.69, 309.39 and 197.16

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Solution

The fourth proportional to 207.69, 309.39 and 197.16 is: 293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 309.39 = 197.16 : x
  2. Step 2: Convert to fraction form
    207.69/309.39 = 197.16/x
  3. Step 3: Cross multiply
    207.69x = 309.39 × 197.16
  4. Step 4: Simplify right side
    207.69x = 60,999.33
  5. Step 5: Solve for x
    x = 60,999.33/207.69
  6. Step 6: Final answer
    x = 293.70

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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.