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Finding the Fourth Proportional to 144.82, 199.86 and 101.26

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Solution

The fourth proportional to 144.82, 199.86 and 101.26 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 199.86 = 101.26 : x
  2. Step 2: Convert to fraction form
    144.82/199.86 = 101.26/x
  3. Step 3: Cross multiply
    144.82x = 199.86 × 101.26
  4. Step 4: Simplify right side
    144.82x = 20,237.82
  5. Step 5: Solve for x
    x = 20,237.82/144.82
  6. Step 6: Final answer
    x = 139.74

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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.