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Finding the Fourth Proportional to 149.41, 207.14 and 141.22

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Solution

The fourth proportional to 149.41, 207.14 and 141.22 is: 195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.41 : 207.14 = 141.22 : x
  2. Step 2: Convert to fraction form
    149.41/207.14 = 141.22/x
  3. Step 3: Cross multiply
    149.41x = 207.14 × 141.22
  4. Step 4: Simplify right side
    149.41x = 29,252.31
  5. Step 5: Solve for x
    x = 29,252.31/149.41
  6. Step 6: Final answer
    x = 195.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.