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Finding the Fourth Proportional to 149.39, 205.66 and 141.69

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Solution

The fourth proportional to 149.39, 205.66 and 141.69 is: 195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.39 : 205.66 = 141.69 : x
  2. Step 2: Convert to fraction form
    149.39/205.66 = 141.69/x
  3. Step 3: Cross multiply
    149.39x = 205.66 × 141.69
  4. Step 4: Simplify right side
    149.39x = 29,139.61
  5. Step 5: Solve for x
    x = 29,139.61/149.39
  6. Step 6: Final answer
    x = 195.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.