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Finding the Fourth Proportional to 144.90, 199.87 and 120.31

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Solution

The fourth proportional to 144.90, 199.87 and 120.31 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 199.87 = 120.31 : x
  2. Step 2: Convert to fraction form
    144.90/199.87 = 120.31/x
  3. Step 3: Cross multiply
    144.90x = 199.87 × 120.31
  4. Step 4: Simplify right side
    144.90x = 24,045.56
  5. Step 5: Solve for x
    x = 24,045.56/144.90
  6. Step 6: Final answer
    x = 165.95

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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.