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Finding the Fourth Proportional to 150.28, 205.79 and 141.95

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Solution

The fourth proportional to 150.28, 205.79 and 141.95 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 205.79 = 141.95 : x
  2. Step 2: Convert to fraction form
    150.28/205.79 = 141.95/x
  3. Step 3: Cross multiply
    150.28x = 205.79 × 141.95
  4. Step 4: Simplify right side
    150.28x = 29,212.49
  5. Step 5: Solve for x
    x = 29,212.49/150.28
  6. Step 6: Final answer
    x = 194.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.