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Finding the Fourth Proportional to 207.14, 309.34 and 195.14

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Solution

The fourth proportional to 207.14, 309.34 and 195.14 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 309.34 = 195.14 : x
  2. Step 2: Convert to fraction form
    207.14/309.34 = 195.14/x
  3. Step 3: Cross multiply
    207.14x = 309.34 × 195.14
  4. Step 4: Simplify right side
    207.14x = 60,364.61
  5. Step 5: Solve for x
    x = 60,364.61/207.14
  6. Step 6: Final answer
    x = 291.42

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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.