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Finding the Fourth Proportional to 150.05, 205.44 and 144.59

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Solution

The fourth proportional to 150.05, 205.44 and 144.59 is: 197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 205.44 = 144.59 : x
  2. Step 2: Convert to fraction form
    150.05/205.44 = 144.59/x
  3. Step 3: Cross multiply
    150.05x = 205.44 × 144.59
  4. Step 4: Simplify right side
    150.05x = 29,703.00
  5. Step 5: Solve for x
    x = 29,703.00/150.05
  6. Step 6: Final answer
    x = 197.95

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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.